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Time & Distance - Practice MCQs for CCAT

60 Questions Section A: Fundamentals Quantitative Aptitude

Time & Distance Question Bank for C-CAT

Topic-wise Time & Distance MCQs for CDAC C-CAT preparation with answers and explanations.

Q1.
A train travels 360 km in 4 hours. What is its average speed?
A80 km/h
B90 km/h
C100 km/h
D85 km/h
Show Answer & Explanation

Correct Answer: B - 90 km/h

Speed = Distance/Time = 360/4 = 90 km/h.

Q2.
A car covers 480 km in 8 hours. How much time will it take to cover 600 km at the same speed?
A8 hours
B9 hours
C11 hours
D10 hours
Show Answer & Explanation

Correct Answer: D - 10 hours

Speed = 480/8 = 60 km/h. Time for 600 km = 600/60 = 10 hours.

Q3.
A man walks at 5 km/h for 6 hours and at 4 km/h for 8 hours. Find his average speed.
A4.5 km/h
B4.4 km/h
C4.7 km/h
D5 km/h
Show Answer & Explanation

Correct Answer: B - 4.4 km/h

Total distance = 30+32 = 62 km. Total time = 14 hrs. Avg = 62/14 approx 4.43 km/h.

Q4.
Two trains start from same place in same direction at 50 km/h and 60 km/h. After how many hours will they be 40 km apart?
A2 hours
B6 hours
C4 hours
D8 hours
Show Answer & Explanation

Correct Answer: C - 4 hours

Relative speed = 60-50 = 10 km/h. Time = 40/10 = 4 hours.

Q5.
A person travels 40 km at 8 km/h and another 40 km at 10 km/h. Find average speed for the entire journey.
A8.5 km/h
B9.5 km/h
C9 km/h
D8.89 km/h
Show Answer & Explanation

Correct Answer: D - 8.89 km/h

Total time = 5+4 = 9 hrs. Total distance = 80 km. Avg = 80/9 approx 8.89 km/h.

Q6.
A train 150m long crosses a platform of 200m in 35 seconds. Find the speed of the train.
A40 km/h
B36 km/h
C45 km/h
D50 km/h
Show Answer & Explanation

Correct Answer: B - 36 km/h

Total distance = 150+200 = 350m. Speed = 350/35 = 10 m/s = 36 km/h.

Q7.
A boat goes 30 km upstream and 44 km downstream in 10 hours. It goes 40 km upstream and 55 km downstream in 13 hours. Find speed of boat in still water.
A8 km/h
B7 km/h
C6 km/h
D9 km/h
Show Answer & Explanation

Correct Answer: A - 8 km/h

Let boat=b, stream=s. 30/(b-s)+44/(b+s)=10. 40/(b-s)+55/(b+s)=13. Solving: b=8.

Q8.
If a person walks at 3 km/h, he reaches his office 5 minutes late. If he walks at 4 km/h, he reaches 5 minutes early. What is the distance?
A2 km
B1 km
C3 km
D4 km
Show Answer & Explanation

Correct Answer: A - 2 km

Let distance = d. d/3 - d/4 = 10/60. d(4-3)/12 = 1/6. d = 2 km.

Q9.
Two trains 100m and 120m long are running in opposite directions. Their speeds are 36 km/h and 54 km/h. Time to cross each other?
A15 sec
B10 sec
C12 sec
D8 sec
Show Answer & Explanation

Correct Answer: D - 8 sec

Relative speed = 90 km/h = 25 m/s. Total length = 220m. Time = 220/25 = 8.8 approx 8 sec.

Q10.
A man can row at 5 km/h in still water. If the stream flows at 2 km/h, it takes him 2 hours to row to a place and back. How far is the place?
A4.2 km
B3.6 km
C4.8 km
D5.4 km
Show Answer & Explanation

Correct Answer: A - 4.2 km

Upstream = 3 km/h, Downstream = 7 km/h. d/3 + d/7 = 2. 10d/21 = 2. d = 4.2 km.

Q11.
A car covers first half of distance at 40 km/h and second half at 60 km/h. Average speed is:
A45 km/h
B50 km/h
C48 km/h
D52 km/h
Show Answer & Explanation

Correct Answer: C - 48 km/h

For equal distances: Average = 2×40×60/(40+60) = 4800/100 = 48 km/h.

Q12.
A train passes a pole in 15 seconds and a 300m platform in 25 seconds. Find length and speed of train.
A450m, 72 km/h
B300m, 72 km/h
C450m, 108 km/h
D400m, 96 km/h
Show Answer & Explanation

Correct Answer: C - 450m, 108 km/h

Let length = L. L/15 = (L+300)/25. 25L = 15L+4500. L = 450m. Speed = 450/15 = 30 m/s = 108 km/h.

Q13.
Walking at 3/4 of his usual speed, a man is 20 min late. Find his usual time.
A40 min
B80 min
C60 min
D100 min
Show Answer & Explanation

Correct Answer: C - 60 min

Time ∝ 1/Speed. New time = 4/3 of usual. 4T/3 - T = 20. T/3 = 20. T = 60 min.

Q14.
Two trains running in same direction at 40 km/h and 22 km/h. Faster train crosses a man in slower train in 36 sec. Length of faster train is:
A60m
B180m
C120m
D90m
Show Answer & Explanation

Correct Answer: B - 180m

Relative speed = 18 km/h = 5 m/s. Length = 5 × 36 = 180m.

Q15.
A thief is spotted by policeman 200m away. Thief runs at 10 km/h, policeman at 12 km/h. When will policeman catch thief?
A6 min
B5 min
C4 min
D8 min
Show Answer & Explanation

Correct Answer: A - 6 min

Relative speed = 2 km/h = 2000m/60min = 33.3 m/min. Time = 200/33.3 = 6 min.

Q16.
A boat takes 4 hours to travel downstream and 6 hours to travel upstream same distance. If stream speed is 4 km/h, find boat speed in still water.
A16 km/h
B18 km/h
C24 km/h
D20 km/h
Show Answer & Explanation

Correct Answer: D - 20 km/h

Let boat = b. d = (b+4)×4 = (b-4)×6. 4b+16 = 6b-24. 2b = 40. b = 20 km/h.

Q17.
A man rows 13 km upstream in 5 hours and 28 km downstream in 4 hours. Speed of stream is:
A1.5 km/h
B2.2 km/h
C2 km/h
D2.5 km/h
Show Answer & Explanation

Correct Answer: B - 2.2 km/h

Upstream speed = 13/5 = 2.6. Downstream = 28/4 = 7. Stream = (7-2.6)/2 = 2.2 km/h.

Q18.
Two cyclists start from same point at same time in opposite directions. Their speeds are 12 km/h and 8 km/h. After how many hours will they be 100 km apart?
A4 hours
B5 hours
C6 hours
D8 hours
Show Answer & Explanation

Correct Answer: B - 5 hours

Combined speed = 20 km/h. Time = 100/20 = 5 hours.

Q19.
A train 200m long takes 60 seconds to cross a bridge. Speed of train is 36 km/h. Length of bridge is:
A500m
B400m
C600m
D700m
Show Answer & Explanation

Correct Answer: B - 400m

36 km/h = 10 m/s. Total distance = 10×60 = 600m. Bridge = 600-200 = 400m.

Q20.
A person travels 120 km at 40 km/h and returns at 60 km/h. Average speed for round trip is:
A45 km/h
B50 km/h
C48 km/h
D52 km/h
Show Answer & Explanation

Correct Answer: C - 48 km/h

Time going = 3 hrs. Time return = 2 hrs. Total = 5 hrs. Distance = 240 km. Avg = 240/5 = 48 km/h.

Q21.
A car travels 240 km in 4 hours. Its speed in m/s is:
A18 m/s
B15 m/s
C20 m/s
D16.67 m/s
Show Answer & Explanation

Correct Answer: D - 16.67 m/s

Speed = 240/4 = 60 km/h = 60×5/18 = 16.67 m/s.

Q22.
A train 200m long passes a pole in 10 seconds. Its speed is:
A60 km/h
B72 km/h
C80 km/h
D54 km/h
Show Answer & Explanation

Correct Answer: B - 72 km/h

Speed = 200/10 = 20 m/s = 20×18/5 = 72 km/h.

Q23.
Two trains approach each other at 60 km/h and 40 km/h. They are 200 km apart. They meet in:
A3 hours
B2.5 hours
C2 hours
D1.5 hours
Show Answer & Explanation

Correct Answer: C - 2 hours

Relative speed = 100 km/h. Time = 200/100 = 2 hours.

Q24.
A man walking at 5 km/h reaches his office 10 minutes late. At 6 km/h he is 10 minutes early. Distance to office:
A15 km
B8 km
C12 km
D10 km
Show Answer & Explanation

Correct Answer: D - 10 km

D/5 - D/6 = 20/60. (6D-5D)/30 = 1/3. D = 10 km.

Q25.
A boat goes 24 km downstream in 3 hours and returns in 4 hours. Speed of stream is:
A2 km/h
B1 km/h
C1.5 km/h
D3 km/h
Show Answer & Explanation

Correct Answer: B - 1 km/h

Downstream speed=8, Upstream speed=6. Stream=(8-6)/2=1 km/h.

Q26.
If a person runs at 15 km/h instead of 10 km/h, he covers 20 km more in same time. Time is:
A2 hours
B3 hours
C5 hours
D4 hours
Show Answer & Explanation

Correct Answer: D - 4 hours

15t - 10t = 20. 5t = 20. t = 4 hours.

Q27.
A train 300m long crosses a bridge 200m long in 25 seconds. Speed is:
A90 km/h
B54 km/h
C72 km/h
D60 km/h
Show Answer & Explanation

Correct Answer: C - 72 km/h

Total distance = 500m. Speed = 500/25 = 20 m/s = 72 km/h.

Q28.
A car covers first half of distance at 40 km/h and second half at 60 km/h. Average speed is:
A48 km/h
B50 km/h
C45 km/h
D55 km/h
Show Answer & Explanation

Correct Answer: A - 48 km/h

Average = 2×40×60/(40+60) = 4800/100 = 48 km/h.

Q29.
Two runners start from the same point and run in the same direction at 8 km/h and 13 km/h. After how long will they be 20 km apart?
A5 hours
B3 hours
C4 hours
D2 hours
Show Answer & Explanation

Correct Answer: C - 4 hours

Relative speed = 5 km/h. Time = 20/5 = 4 hours.

Q30.
A cyclist covers 750 metres in 2 minutes 30 seconds. Speed in km/h:
A15 km/h
B18 km/h
C20 km/h
D12 km/h
Show Answer & Explanation

Correct Answer: B - 18 km/h

Speed = 750/150 = 5 m/s = 18 km/h.

Q31.
A man goes upstream 28 km in 4 hours and downstream 40 km in 4 hours. Speed of current:
A1.5 km/h
B2 km/h
C3 km/h
D2.5 km/h
Show Answer & Explanation

Correct Answer: A - 1.5 km/h

Upstream=7 km/h, Downstream=10 km/h. Current=(10-7)/2=1.5 km/h.

Q32.
A train crosses a standing man in 12 seconds and a platform of 200m in 22 seconds. Length of train:
A180m
B200m
C300m
D240m
Show Answer & Explanation

Correct Answer: D - 240m

Speed = L/12. (L+200)/22 = L/12. 12L+2400=22L. 10L=2400. L=240m.

Q33.
If I walk at 3/4 of my usual speed, I am 15 minutes late. My usual time is:
A60 min
B45 min
C30 min
D50 min
Show Answer & Explanation

Correct Answer: B - 45 min

Time at 3/4 speed = 4/3 of usual. Extra = 1/3 of usual = 15 min. Usual = 45 min.

Q34.
A plane flies 1200 km with the wind in 2 hours and 1200 km against in 3 hours. Wind speed:
A200 km/h
B150 km/h
C100 km/h
D50 km/h
Show Answer & Explanation

Correct Answer: C - 100 km/h

With wind: 600 km/h. Against: 400 km/h. Wind = (600-400)/2 = 100 km/h.

Q35.
Two trains running in same direction at 40 and 22 km/h. Faster train crosses a man in slower train in 36 seconds. Length of faster train:
A180m
B200m
C160m
D220m
Show Answer & Explanation

Correct Answer: A - 180m

Relative speed = 18 km/h = 5 m/s. Length = 5×36 = 180m.

Q36.
A bus travels at 54 km/h. How many metres does it cover in 1 second?
A15m
B18m
C12m
D10m
Show Answer & Explanation

Correct Answer: A - 15m

54 km/h = 54×5/18 = 15 m/s.

Q37.
A man rows 40 km upstream and 55 km downstream in 13 hours. Also 30 km up and 44 km down in 10 hours. Speed of boat in still water:
A8 km/h
B6 km/h
C10 km/h
D12 km/h
Show Answer & Explanation

Correct Answer: A - 8 km/h

40/u + 55/d = 13 and 30/u + 44/d = 10. Let 1/u=a, 1/d=b. 40a+55b=13, 30a+44b=10. Solving: multiply 1st by 3, 2nd by 4: 120a+165b=39, 120a+176b=40. 11b=1, b=1/11, d=11. 40a+5=13, a=1/5, u=5. Boat=(11+5)/2=8.

Q38.
A thief runs at 8 km/h. Policeman chases at 10 km/h. Thief has 15 min head start. When will he be caught?
A1 hour
B45 min
C1.25 hours
D30 min
Show Answer & Explanation

Correct Answer: A - 1 hour

Head start distance = 8×(15/60) = 2 km. Relative speed = 2 km/h. Time = 2/2 = 1 hour.

Q39.
Walking at 4/5 of usual speed, a student is 6 minutes late. His usual time is:
A36 min
B30 min
C20 min
D24 min
Show Answer & Explanation

Correct Answer: D - 24 min

At 4/5 speed, time = 5/4 of usual. Extra = 1/4 of usual = 6. Usual = 24 min.

Q40.
A car travels 300 km at uniform speed. If speed had been 10 km/h more, it would take 1 hour less. The speed is:
A75 km/h
B60 km/h
C40 km/h
D50 km/h
Show Answer & Explanation

Correct Answer: D - 50 km/h

300/S - 300/(S+10) = 1. 300(S+10-S)/S(S+10)=1. 3000=S²+10S. S²+10S-3000=0. (S+60)(S-50)=0. S=50.

Q41.
Two trains of lengths 100m and 150m running in opposite directions cross each other in 10 seconds. If one is twice the speed of the other, find the slower train's speed:
A36 km/h
B30 km/h
C25 km/h
D45 km/h
Show Answer & Explanation

Correct Answer: B - 30 km/h

Total distance=250m. 250/10=25 m/s. S+2S=25. 3S=25. S=25/3 m/s. Slower=25/3×18/5=30 km/h.

Q42.
A person travels 600 km partly by train and partly by car. Train speed 80 km/h, car 60 km/h. Total time 8.5 hours. Train distance:
A400 km
B360 km
C480 km
D300 km
Show Answer & Explanation

Correct Answer: B - 360 km

Let train distance be x. Then x/80 + (600-x)/60 = 8.5. Multiplying by 240 gives 3x + 2400 - 4x = 2040, so x = 360 km.

Q43.
A boat takes 6 hours to go from A to B and 4 hours to return. If stream speed is 2 km/h, distance AB is:
A40 km
B36 km
C24 km
D48 km
Show Answer & Explanation

Correct Answer: D - 48 km

Downstream=D/4, Upstream=D/6. Stream=(D/4-D/6)/2=(D/12)/2=D/24=2. D=48 km.

Q44.
Speed of a car increases by 2 km/h every hour. If distance in first hour is 35 km, total distance in 12 hours:
A552 km
B492 km
C540 km
D480 km
Show Answer & Explanation

Correct Answer: A - 552 km

Speeds: 35,37,39...AP with a=35, d=2, n=12. Sum=n/2(2a+(n-1)d)=6(70+22)=6×92=552 km.

Q45.
A runs 5/4 times as fast as B. In a race of 1000m, A beats B by:
A150m
B250m
C200m
D300m
Show Answer & Explanation

Correct Answer: C - 200m

When A runs 1000m, B runs 1000×4/5=800m. A beats B by 200m.

Q46.
A bus covers a distance in 40 minutes at speed 60 km/h. To cover same distance in 30 minutes, speed should be:
A90 km/h
B75 km/h
C80 km/h
D70 km/h
Show Answer & Explanation

Correct Answer: C - 80 km/h

Distance = 60×40/60 = 40 km. Speed = 40/(30/60) = 80 km/h.

Q47.
If a man walks at 6 km/h, he reaches early by 10 min. If at 5 km/h, late by 5 min. The distance is:
A7.5 km
B6 km
C10 km
D5 km
Show Answer & Explanation

Correct Answer: A - 7.5 km

D/5 - D/6 = 15/60. (6D-5D)/30 = 1/4. D = 7.5 km.

Q48.
An express train takes 3 seconds to pass through a telegraph post and 12 seconds to pass through a platform 270m long. Length of train:
A90m
B80m
C100m
D120m
Show Answer & Explanation

Correct Answer: A - 90m

Speed=L/3. (L+270)/12=L/3. 3L+810=12L. 9L=810. L=90m.

Q49.
A man goes to office at 3/4 of his usual speed. He is 20 minutes late. Time at usual speed:
A50 min
B45 min
C80 min
D60 min
Show Answer & Explanation

Correct Answer: D - 60 min

Extra time = T/4 = T×(4/3-1)=T/3=20. T=60 min.

Q50.
Two cars start from the same point in opposite directions at 45 km/h and 55 km/h. After how much time will they be 300 km apart?
A3 hours
B2.5 hours
C4 hours
D3.5 hours
Show Answer & Explanation

Correct Answer: A - 3 hours

When moving in opposite directions, relative speed = 45 + 55 = 100 km/h. Time = 300/100 = 3 hours.

Q51.
A car travels 120 km at 40 km/h and returns at 60 km/h. Average speed is:
A48 km/h
B50 km/h
C52 km/h
D54 km/h
Show Answer & Explanation

Correct Answer: A - 48 km/h

For equal distances, average speed = 2ab/(a+b)=2x40x60/100=48.

Q52.
A train 180 m long crosses a platform 220 m long in 20 seconds. Speed is:
A54 km/h
B60 km/h
C72 km/h
D80 km/h
Show Answer & Explanation

Correct Answer: C - 72 km/h

Distance = 180+220=400 m. Speed=20 m/s=72 km/h.

Q53.
Two trains 150 m and 250 m long move in opposite directions at 45 and 55 km/h. Crossing time is:
A12.4 s
B13.4 s
C14.4 s
D15.4 s
Show Answer & Explanation

Correct Answer: C - 14.4 s

Relative speed=100 km/h=250/9 m/s. Total length=400 m. Time=400/(250/9)=14.4 s.

Q54.
A boat takes 6 hours upstream and 4 hours downstream for the same distance. If stream speed is 3 km/h, distance is:
A48 km
B60 km
C72 km
D84 km
Show Answer & Explanation

Correct Answer: C - 72 km

Let boat speed be b. 6(b-3)=4(b+3), so b=15. Distance=4x18=72 km.

Q55.
A person covers half a distance at 30 km/h and half at 45 km/h. Average speed is:
A34 km/h
B36 km/h
C37.5 km/h
D40 km/h
Show Answer & Explanation

Correct Answer: B - 36 km/h

For equal distances average = 2ab/(a+b)=2x30x45/75=36.

Q56.
Two people start from the same point in opposite directions at 5 km/h and 7 km/h. After how long are they 42 km apart?
A3 h
B3.5 h
C4 h
D4.5 h
Show Answer & Explanation

Correct Answer: B - 3.5 h

Relative speed=12 km/h. Time=42/12=3.5 h.

Q57.
A train crosses a pole in 9 s and a 240 m platform in 21 s. Train length is:
A160 m
B180 m
C200 m
D220 m
Show Answer & Explanation

Correct Answer: B - 180 m

Let speed v and length L. L/v=9, (L+240)/v=21. 240/v=12, v=20 m/s, L=180 m.

Q58.
If speed increases by 25%, time for same distance decreases by:
A20%
B25%
C30%
D33.33%
Show Answer & Explanation

Correct Answer: A - 20%

New speed=1.25 old, so new time=1/1.25=0.8 old, a 20% decrease.

Q59.
A man walks at 4 km/h and reaches 15 minutes late. At 6 km/h he reaches 15 minutes early. Distance is:
A5 km
B6 km
C7 km
D8 km
Show Answer & Explanation

Correct Answer: B - 6 km

Time difference=30 min=1/2 h. d/4 - d/6 = d/12 = 1/2, so d=6 km.

Q60.
A circular track is 600 m. Two runners start together in same direction at 6 m/s and 4 m/s. When do they meet again?
A200 s
B250 s
C300 s
D350 s
Show Answer & Explanation

Correct Answer: C - 300 s

Relative speed=2 m/s. Faster runner gains one lap of 600 m in 600/2=300 s.

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