Practice 20 Time & Distance multiple-choice questions designed for CDAC CCAT exam preparation. Click "Show Answer" to reveal the correct option with detailed explanation.
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
C10 hours
D11 hours
Show Answer & Explanation
Correct Answer: C — 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.
A4.4 km/h
B4.5 km/h
C4.7 km/h
D5 km/h
Show Answer & Explanation
Correct Answer: A — 4.4 km/h
Total distance = 30+32 = 62 km. Total time = 14 hrs. Avg = 62/14 ≈ 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
B4 hours
C6 hours
D8 hours
Show Answer & Explanation
Correct Answer: B — 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
B8.89 km/h
C9 km/h
D9.5 km/h
Show Answer & Explanation
Correct Answer: B — 8.89 km/h
Total time = 5+4 = 9 hrs. Total distance = 80 km. Avg = 80/9 ≈ 8.89 km/h.
Q6.
A train 150m long crosses a platform of 200m in 35 seconds. Find the speed of the train.
A36 km/h
B40 km/h
C45 km/h
D50 km/h
Show Answer & Explanation
Correct Answer: A — 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.
A6 km/h
B7 km/h
C8 km/h
D9 km/h
Show Answer & Explanation
Correct Answer: C — 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?
Show Answer & Explanation
Correct Answer: B — 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?
A8 sec
B10 sec
C12 sec
D15 sec
Show Answer & Explanation
Correct Answer: A — 8 sec
Relative speed = 90 km/h = 25 m/s. Total length = 220m. Time = 220/25 = 8.8 ≈ 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?
A3.6 km
B4.2 km
C4.8 km
D5.4 km
Show Answer & Explanation
Correct Answer: B — 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
B48 km/h
C50 km/h
D52 km/h
Show Answer & Explanation
Correct Answer: B — 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, 108 km/h
B300m, 72 km/h
C450m, 72 km/h
D400m, 96 km/h
Show Answer & Explanation
Correct Answer: A — 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
B60 min
C80 min
D100 min
Show Answer & Explanation
Correct Answer: B — 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:
Show Answer & Explanation
Correct Answer: D — 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?
A4 min
B5 min
C6 min
D8 min
Show Answer & Explanation
Correct Answer: C — 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
C20 km/h
D24 km/h
Show Answer & Explanation
Correct Answer: C — 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 km/h
C2.2 km/h
D2.5 km/h
Show Answer & Explanation
Correct Answer: C — 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:
Show Answer & Explanation
Correct Answer: A — 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
B48 km/h
C50 km/h
D52 km/h
Show Answer & Explanation
Correct Answer: B — 48 km/h
Time going = 3 hrs. Time return = 2 hrs. Total = 5 hrs. Distance = 240 km. Avg = 240/5 = 48 km/h.