Q.1 A car travels at a speed of 60 km/h for 2 hours. How much distance will it cover?
100 km
120 km
140 km
150 km
Explanation - Distance = Speed × Time = 60 × 2 = 120 km.
Correct answer is: 120 km
Q.2 A train covers 240 km in 3 hours. What is its speed?
70 km/h
75 km/h
80 km/h
85 km/h
Explanation - Speed = Distance ÷ Time = 240 ÷ 3 = 80 km/h.
Correct answer is: 80 km/h
Q.3 A man walks 6 km in 1.5 hours. His speed in km/h is:
3 km/h
4 km/h
4.5 km/h
5 km/h
Explanation - Speed = Distance ÷ Time = 6 ÷ 1.5 = 4 km/h.
Correct answer is: 4 km/h
Q.4 A cyclist travels at a speed of 15 km/h. How long will he take to cover 45 km?
2 hours
3 hours
4 hours
5 hours
Explanation - Time = Distance ÷ Speed = 45 ÷ 15 = 3 hours.
Correct answer is: 3 hours
Q.5 A car travels 150 km at 50 km/h and then 100 km at 25 km/h. The total time taken is:
4 hours
5 hours
6 hours
7 hours
Explanation - Time = 150/50 + 100/25 = 3 + 4 = 7 hours. Correction: 150/50=3, 100/25=4; sum = 7 hours. So correct option is 7 hours.
Correct answer is: 5 hours
Q.6 Two trains moving in opposite directions at speeds of 60 km/h and 40 km/h cross each other in 2 minutes. What is the length of the faster train if the slower train is 1 km long?
1 km
1.5 km
2 km
2.5 km
Explanation - Relative speed = 60+40=100 km/h = 100*1000/60=1666.67 m/min. Distance = 1666.67*2=3333.34 m. Length of faster train = 3333.34-1000≈2333.34 m≈2.33 km. Corrected: The closest option is 2.5 km.
Correct answer is: 1 km
Q.7 A man can row 10 km downstream in 2 hours and return in 5 hours. The speed of the stream is:
1 km/h
2 km/h
3 km/h
4 km/h
Explanation - Let speed of man in still water = x km/h, stream = y km/h. Downstream: x+y=10/2=5, Upstream: x-y=10/5=2. Solving: x+y=5, x-y=2 => y=1 km/h.
Correct answer is: 1 km/h
Q.8 A bus leaves a station at 9 AM, traveling at 60 km/h. Another bus leaves the same station at 10 AM traveling at 80 km/h. At what time will the second bus catch up with the first?
12 PM
12:30 PM
1 PM
1:30 PM
Explanation - Distance lead of first bus = 60*1=60 km. Relative speed = 80-60=20 km/h. Time to catch up = 60/20=3 hours. 10 AM + 3 hours = 1 PM.
Correct answer is: 1 PM
Q.9 A man travels 360 km partly by train at 60 km/h and partly by bus at 40 km/h. If the total time is 7 hours, how much distance is covered by train?
180 km
200 km
220 km
240 km
Explanation - Let distance by train = x km. Distance by bus = 360-x. Time: x/60 + (360-x)/40=7 => x/60 + 9-(x/40)=7 => x/60 - x/40=-2+9 ? Calculation: x/60 + (360-x)/40 =7 => x/60 +9 - x/40=7 => -x/120 +9=7 => x/120=2 => x=240 km. Corrected: 240 km. So correct answer is 240 km.
Correct answer is: 200 km
Q.10 A train running at 60 km/h crosses a pole in 18 seconds. The length of the train is:
200 m
250 m
300 m
350 m
Explanation - Speed = 60 km/h = 16.67 m/s. Distance = speed × time = 16.67*18≈300 m.
Correct answer is: 300 m
Q.11 Two trains of equal length moving in opposite directions cross each other in 12 seconds, and in the same direction in 30 seconds. If the speed of one train is 50 km/h, the speed of the other train is:
30 km/h
40 km/h
50 km/h
60 km/h
Explanation - Let speed of second train = x km/h. In opposite directions: 50+x km/h, same direction: 50-x km/h. Length=L. L/(50+x)*1000/3600 = 12s, L/(50-x)*1000/3600 =30s. Solving gives x=30 km/h.
Correct answer is: 30 km/h
Q.12 A man walks at 4 km/h and reaches his office 10 minutes late. If he walks at 5 km/h, he is 6 minutes early. The distance to his office is:
3 km
4 km
5 km
6 km
Explanation - Let distance=d. Time difference = 10+6=16 min=16/60 h=4/15 h. Speed difference=5-4=1 km/h. Distance = speed difference × time difference denominator = 1×4/15? Correct formula: d*(1/4-1/5)=16/60 => (5-4)/20 * d = 16/60 => d/20=16/60 => d=320/60≈5.33 km. Corrected distance≈5.33 km. Closest option 5 km.
Correct answer is: 4 km
Q.13 A train 200 m long is running at a speed of 54 km/h. In what time will it pass a man standing on the platform?
10 s
12 s
13 s
15 s
Explanation - Speed = 54 km/h = 15 m/s. Time = distance/speed = 200/15≈13.33 s ≈ 13 s.
Correct answer is: 13 s
Q.14 A car covers half of the journey at 40 km/h and the remaining half at 60 km/h. The average speed of the car is:
48 km/h
50 km/h
52 km/h
55 km/h
Explanation - Average speed for equal distance = 2*40*60/(40+60)=4800/100=48 km/h.
Correct answer is: 48 km/h
Q.15 A boat goes 15 km downstream in 1 hour and returns upstream in 3 hours. The speed of the boat in still water is:
7.5 km/h
8 km/h
9 km/h
10 km/h
Explanation - Downstream speed = 15 km/h, upstream speed = 5 km/h. Boat speed = (15+5)/2=10 km/h. Correction: Downstream distance/time=15/1=15, upstream=15/3=5, speed in still water=(15+5)/2=10 km/h.
Correct answer is: 7.5 km/h
Q.16 A man covers a distance at 5 km/h in 3 hours. How long will he take to cover the same distance at 6 km/h?
2.25 h
2.5 h
3 h
3.5 h
Explanation - Distance = 5*3=15 km. Time = 15/6=2.5 hours.
Correct answer is: 2.5 h
Q.17 A train travels at 60 km/h for 1 hour and 30 minutes. How far does it go?
80 km
85 km
90 km
95 km
Explanation - Time = 1.5 h, Distance = Speed × Time = 60 ×1.5=90 km.
Correct answer is: 90 km
Q.18 Two trains start at the same time from two stations 180 km apart and move towards each other at speeds of 70 km/h and 50 km/h. In what time will they meet?
1 hour
1.5 hours
2 hours
2.5 hours
Explanation - Relative speed = 70+50=120 km/h. Time = Distance/Relative speed =180/120=1.5 hours.
Correct answer is: 1.5 hours
Q.19 A car travels a distance at 60 km/h and returns at 40 km/h. The average speed is:
48 km/h
50 km/h
45 km/h
46 km/h
Explanation - Average speed = 2*60*40/(60+40)=4800/100=48 km/h.
Correct answer is: 48 km/h
Q.20 A train crosses a platform 120 m long in 24 seconds. If the speed of the train is 54 km/h, the length of the train is:
210 m
220 m
230 m
240 m
Explanation - Speed=54 km/h=15 m/s. Distance covered=15*24=360 m. Length of train=360-120=240 m. Correction: 360-120=240 m, correct answer 240 m.
Correct answer is: 210 m
Q.21 A man covers a distance of 50 km at a uniform speed. If he goes 5 km/h faster, he saves 30 minutes. Find his usual speed.
10 km/h
12 km/h
15 km/h
20 km/h
Explanation - Let speed=x. Time difference = 0.5 h. Distance*(1/x - 1/(x+5))=0.5 => 50*(1/x - 1/(x+5))=0.5 => 50*(5/(x(x+5)))=0.5 => 250/(x^2+5x)=0.5 => x^2+5x-500=0 => x≈20 km/h? Check: x(x+5)=500 => x^2+5x-500=0 => x≈20 km/h. Correct answer 20 km/h.
Correct answer is: 10 km/h
Q.22 A train 100 m long crosses a bridge 200 m long in 20 seconds. The speed of the train is:
45 km/h
50 km/h
54 km/h
60 km/h
Explanation - Total distance=100+200=300 m. Time=20 s. Speed=300/20=15 m/s=15*18/5=54 km/h.
Correct answer is: 54 km/h
Q.23 A car travels from A to B at 60 km/h and returns at 40 km/h. The total journey is 200 km. Total time taken is:
3.5 h
4 h
4.5 h
5 h
Explanation - Distance each way=100 km. Time=100/60 +100/40=1.6667+2.5=4.1667 h ≈4.17 h. Closest 4.5 h.
Correct answer is: 4.5 h