Q.1 A car covers a distance of 240 km in 4 hours. What is its average speed?
50 km/h
55 km/h
60 km/h
65 km/h
Explanation - Average speed = Distance / Time = 240 / 4 = 60 km/h.
Correct answer is: 60 km/h
Q.2 If a train runs at 72 km/h, how many meters does it cover in 1 second?
15 m
18 m
20 m
25 m
Explanation - 72 km/h = (72 × 1000) / 3600 = 20 m/s.
Correct answer is: 20 m
Q.3 A man walks 6 km in 1 hour and cycles 12 km in the same time. What is the ratio of his walking speed to cycling speed?
1:2
1:3
2:3
3:2
Explanation - Walking speed = 6 km/h, Cycling speed = 12 km/h. Ratio = 6:12 = 1:2.
Correct answer is: 1:2
Q.4 A bus goes from A to B at 40 km/h and returns at 60 km/h. What is the average speed?
48 km/h
49 km/h
50 km/h
52 km/h
Explanation - Average speed = (2xy)/(x+y) = (2×40×60)/(40+60) = 4800/100 = 48 km/h.
Correct answer is: 48 km/h
Q.5 A train 120 m long crosses a pole in 6 seconds. Find its speed.
60 km/h
65 km/h
70 km/h
72 km/h
Explanation - Speed = Distance/Time = 120/6 = 20 m/s = 20 × 18/5 = 72 km/h.
Correct answer is: 72 km/h
Q.6 A person covers 150 km in 3 hours partly by car at 60 km/h and partly by bus at 40 km/h. Find the distance covered by car.
40 km
50 km
60 km
90 km
Explanation - Let distance by car = x. Then, x/60 + (150-x)/40 = 3. Solve: (2x + 3(150-x))/120 = 3 → 450 - x = 360 → x = 90. Correction: Wait. Rechecking. Equation: x/60 + (150-x)/40 = 3 → (2x + 3(150-x))/120 = 3 → 450 - x = 360 → x = 90. Answer: 90 km.
Correct answer is: 60 km
Q.7 A man walks at 5 km/h. How long will he take to cover 15 km?
2 hours
2.5 hours
3 hours
3.5 hours
Explanation - Time = Distance/Speed = 15/5 = 3 hours.
Correct answer is: 3 hours
Q.8 A train 180 m long passes a platform 420 m long in 30 seconds. Find its speed.
60 km/h
72 km/h
90 km/h
96 km/h
Explanation - Total distance = 180 + 420 = 600 m. Speed = 600/30 = 20 m/s = 72 km/h.
Correct answer is: 72 km/h
Q.9 A boat goes 6 km downstream in 30 minutes and returns upstream in 1 hour. Find the speed of the boat in still water.
4 km/h
5 km/h
6 km/h
7 km/h
Explanation - Downstream speed = 6/0.5 = 12 km/h, Upstream = 6/1 = 6 km/h. Boat speed = (12+6)/2 = 9 km/h. Correction: Wait. Equation method. Boat speed = (12+6)/2 = 9. Answer corrected → 9 km/h.
Correct answer is: 5 km/h
Q.10 A cyclist covers a distance of 36 km in 2 hours 24 minutes. What is his speed?
12 km/h
14 km/h
15 km/h
18 km/h
Explanation - Time = 2 hr 24 min = 2.4 hr. Speed = 36 / 2.4 = 15 km/h.
Correct answer is: 15 km/h
Q.11 If a train 150 m long crosses a man walking at 6 km/h in 9 seconds, find the speed of the train.
54 km/h
60 km/h
66 km/h
72 km/h
Explanation - Relative speed = 150/9 = 16.67 m/s = 60 km/h. Adding walking speed: 60+6=66 km/h.
Correct answer is: 66 km/h
Q.12 A train passes two men walking in the same direction at 2 km/h and 4 km/h in 9 seconds and 10 seconds respectively. Find the length of the train.
150 m
160 m
170 m
180 m
Explanation - Let speed of train = v km/h. Length = (v-2)(5/18)*9 = (v-4)(5/18)*10. Solving gives length = 180 m.
Correct answer is: 180 m
Q.13 A bus goes 50 km at 25 km/h and returns at 50 km/h. What is the average speed?
30 km/h
33.33 km/h
35 km/h
40 km/h
Explanation - Average speed = (2xy)/(x+y) = (2×25×50)/(25+50) = 2500/75 = 33.33 km/h.
Correct answer is: 33.33 km/h
Q.14 A train crosses a platform twice its length in 30 seconds. If its speed is 72 km/h, find the length of the platform.
240 m
300 m
360 m
400 m
Explanation - Speed = 20 m/s. Train length = L. Distance = L+2L=3L. 3L/20=30 → 3L=600 → L=200. Platform=400. Correction: Wait. Distance=3L. 3L=600 → L=200. Platform=400 m. Correct option: 400 m.
Correct answer is: 360 m
Q.15 A car covers half the distance at 40 km/h and the other half at 60 km/h. Find its average speed.
45 km/h
48 km/h
50 km/h
52 km/h
Explanation - Average speed = (2xy)/(x+y) = (2×40×60)/(40+60) = 4800/100 = 48 km/h.
Correct answer is: 48 km/h
Q.16 If a man increases his speed by 25%, he takes 12 minutes less in covering a distance. Find the actual time taken.
36 min
40 min
44 min
48 min
Explanation - Let actual time = t. New time = 0.75t. Difference = 0.25t = 12 → t=48 min.
Correct answer is: 48 min
Q.17 A train 120 m long crosses another train 100 m long running in opposite direction in 9 seconds. If the speed of the first train is 48 km/h, find the speed of the second.
36 km/h
40 km/h
45 km/h
54 km/h
Explanation - Speed1=48 km/h=13.33 m/s. Total distance=220 m. Relative speed=220/9=24.44 m/s. Speed2=24.44-13.33=11.11 m/s=40 km/h. Correction: Wait. 11.11×18/5=40 km/h. Correct answer: 40 km/h.
Correct answer is: 36 km/h
Q.18 A train 150 m long runs at 54 km/h. How long will it take to cross a man running at 6 km/h in the opposite direction?
8 sec
9 sec
10 sec
12 sec
Explanation - Relative speed=54+6=60 km/h=16.67 m/s. Time=150/16.67≈9 sec.
Correct answer is: 9 sec
Q.19 Two cars start from the same point at the same time in opposite directions. Their speeds are 45 km/h and 55 km/h. In how many hours will they be 200 km apart?
2 h
2.5 h
3 h
4 h
Explanation - Relative speed = 45+55=100 km/h. Time = 200/100=2 hours.
Correct answer is: 2 h
Q.20 A train leaves Delhi at 6 am at 60 km/h. Another leaves at 7 am at 75 km/h. At what time will the second train catch the first?
9 am
10 am
11 am
12 pm
Explanation - Head start distance=60 km. Relative speed=75-60=15 km/h. Time=60/15=4 h. So, catch at 11 am. Correction: Wait. Train2 starts 1 hr later. Catch-up time from 7 am=4 h → 11 am.
Correct answer is: 10 am
Q.21 A boat goes 12 km downstream in 3 hours and returns in 4 hours. Find the speed of the boat in still water.
2 km/h
3.5 km/h
4 km/h
5 km/h
Explanation - Downstream=12/3=4 km/h, Upstream=12/4=3 km/h. Boat speed=(4+3)/2=3.5 km/h.
Correct answer is: 3.5 km/h
Q.22 A man covers a distance of 24 km at 6 km/h and returns at 8 km/h. Find the average speed.
6.57 km/h
6.86 km/h
7 km/h
7.25 km/h
Explanation - Average speed=(2xy)/(x+y)=(2×6×8)/(6+8)=96/14=6.86 km/h.
Correct answer is: 6.86 km/h
Q.23 A train 100 m long crosses a platform 200 m long in 20 seconds. Find the speed of the train.
45 km/h
50 km/h
54 km/h
54 km/h
Explanation - Distance=100+200=300 m. Speed=300/20=15 m/s=54 km/h.
Correct answer is: 54 km/h
Q.24 If a man runs at 12 km/h, how much time will he take to cover 1 km?
4 min
5 min
6 min
8 min
Explanation - Speed=12 km/h=0.2 km/min. Time=1/0.2=5 min.
Correct answer is: 5 min