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Question 1: A 476-metre-long moving train crosses a pole in 14 seconds. The length of a platform is equal to the distance covered by the train in 20 Seconds. A man crosses the same platform in 7 minutes and 5 seconds. What is the speed of the man in metre/second?
a) 1.8 m/s
b) 1.4 m/s
c) 1.6 m/s
d) 2 m/s
e) 1.2 m/s
Question 2: A train 600 m long passes a pole in 9 seconds. What is the speed of the train in km/hr?
a) 120 km/hr
b) 180 km/hr
c) 240 km/hr
d) 60 km/hr
e) None of these
Question 3: A train 100 m long crosses a standing man in 10 sec. What is the speed of the train in km/hr?
a) 36 km/hr
b) 24 km/hr
c) 12 km/hr
d) 48 km/hr
e) None of these
Question 4: Find the speed of train in km/hr whose length is 200 m and crosses a platform of length 240m in 22 seconds?
a) 47 km/hr
b) 39 km/hr
c) 87 km/hr
d) 72 km/hr
e) None of these
Question 5:A train 150 m long passes an electric pole in 5 sec, How long will it take to cross a bridge of 180 m length?
a) 11 sec
b) 15 sec
c) 24 sec
d) 29 sec
e) None of these
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Question 6: Two trains one 260m and other 140m long are running in opposite direction on parallel lines. Speed of 1st is 77 km/hr and other is 67 km/hr, how long will it take to cross each other?
a) 10 sec
b) 7 sec
c) 2 mins
d) 70 sec
e) None of these
Question 7: An express train travelled at an average speed of 75 km/h stopping for 5 min every 125 km. How long did it take to reach its destination 375 km from the starting point?
a) 6 h 30 min
b) 4 h 45 min
c) 3 h 15 min
d) 5 h 10 min
e) None of these
Question 8: Two trains are moving in the same direction at the rate of 80 km/hr and 50 km/hr. The fast train crosses a man in the slower train in 27 sec. Find the length of the faster train?
a) 225 m
b) 275 m
c) 325 m
d) 256 m
e) None of these
Question 9: A train 200 m long passes a stone in 15 seconds and passes another train of same length by 12 sec coming from opposite direction. The speed of the second train is?
a) 72 km/hr
b) 56 km/hr
c) 85 km/hr
d) 65 km/hr
e) None of these
Question 10: Excluding stoppages speed of the train is 40 km/hr and including stoppages speed of the train is 29 km/hr. for how many minutes does the train stops per hour?
a) 16.5 min
b) 17 min
c) 16 min
d) 15.5 min
e) None of these
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Question 11: If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is:
a) 13 min
b) 17 min
c) 19 min
d) 22 min
e) None of these
Question 12: A train 800 m long running at the speed of 78 km/hr will cross a tunnel in 1 minute. The length of the tunnel is?
a) 700 m
b) 500 m
c) 1300 m
d) 800 m
e) None of these
Question 13: A train 200 m long running with the speed of 60 km/hr passes a man who is running at 12 km/hr in the same direction of the train. How much time will it take to cross him?
a) 14 sec
b) 15 sec
c) 19 sec
d) 23 sec
e) None of these
Question 14: In a journey of 160 km, a train covers the distance 120 km at a speed of 80 km/h and the remaining distance at 40 km/h. The average speed of the train for the whole journey is:
a) 50 km/h
b) 64 km/h
c) 68 km/h
d) 74 km/h
e) None of these
Question 15: An express train travelled at an average speed of 75 km/h stopping for 5 min every 125 km. How long did it take to reach its destination 375 km from the starting point?
a) 6 h 30 min
b) 4 h 45 min
c) 3 h 15 min
d) 5 h 10 min
e) None of these
Question 16: 2 trains cross each other in opposite directions in 3 seconds. They are of the same length and speed. What is the time taken to cross if they move in the same direction?
a) 5 seconds
b) 10 seconds
c) 12.66 seconds
d) 15 seconds
e) Can’t be determined
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Question 17: A train 400 m. long takes 40 seconds to cross a man travelling with a speed of 5 m/s in opposite direction. What is the speed of train?
a) 7 m/s
b) 6 m/s
c) 8 m/s
d) 5 m/s
e) 4 m/s
Question 18: Two trains A and B of lengths 400m and 600m respectively travelling in same direction. Their speeds are 4 m/s and 6m/s respectively. How long will B take to cross train A?
a) 500 sec
b) 1000 sec
c) 600 sec
d) 800 sec
e) 700 sec
Question 19: Two trains A and B are coming towards each-other with the speed of 20 km/h and 25 km/h. After how much time they will cross each other? (Initial distance between them is 90 km.)
a) 5 h
b) 3 h
c) 4 h
d) 2 h
e) 1 h
Question 20: A 400 meter long train crosses a man who is travelling in opposite direction with a speed of 10 kmph in 4 seconds. Find the speed of the train (in km/h)?
a) 25
b) 26
c) 27
d) 28
e) 29
Question 21: A train of length 500 meter crosses a station of length 300 meter in 5 seconds, what is the speed of the train?
a) 180 m/s
b) 150 m/s
c) 160 m/s
d) 200 m/s
e) 220 m/s
Question 22: Two trains of lengths 400 m. and 200 m. coming towards each other with speeds of 15 km/h and 25 km/h. How long will they take to cross each other?
a) 18 s
b) 54 s
c) 45 s
d) 15 s
e) 80 s
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Question 23: If a train of length 200 meter runs with a speed of 10 m/s then how long will it take to cross 300 meter long platform?
a) 30 s
b) 40 s
c) 50 s
d) 60 s
e) 70 s
Question 24: A train which is 300 metres long crosses a man in 15 seconds. If the man is running in the same direction at a speed of 5 m/s, what is the speed of the train in km/hr?
a) 60 km/hr
b) 54 km/hr
c) 72 km/hr
d) 90 km/hr
e) 45 km/hr
Question 25: A 200 meter long train crosses a man riding on a bike with a speed of 36 m/s in the opposite direction in 2 seconds. What is the speed of the train?
a) 52 m/s
b) 100 m/s
c) 64 m/s
d) 85 m/s
e) 96 m/s
Answers & Solutions:
1) Answer (C)
Length of the platform = 20/14 * 476 = 20*34 = 680 m
So, speed of man = 680/425 s = 1.6 m/s
2) Answer (C)
Speed = Distance/Time =600/9 m/sec
=600/9×18/5 km/hr = 240 km/hr
∵ 1 m/sec = 18/5 km/hr
3) Answer (A)
Speed = distance/Time=100/10 = 10 m/sec = 10 × 18/5 = 36 km/hr”>
4) Answer (D)
Speed = Distance/Time = (200+240)/22 = 440/22 = 20 m/sec = 20 x 18/5 = 72 km/hr
5) Answer (A)
Speed = Distance/Time = 150/5=30 m/sec
∴ Required Time = (150+180)/30=330/30 = 11 sec
6) Answer (A)
Relative speed of the trains = (77 + 67) km/hr = 144 km/hr = 144 × 5/18 m/sec = 40 m/sec
Time taken by the trains to cross each other = Time taken to cover (260 + 140) m at 40 m/sec = (400/40) sec = 10 sec
7) Answer (D)
Time taken to cover 375 km = (375/75)h = 5h
Number of stoppages = 375/125-1 = 2
Total time to stoppages = (5 × 2 ) min = 10 min
Hence, total time taken = 5 h 10 min
8) Answer (A)
Relative speed of the trains = (80 − 50) km/hr = 30 km/hr = 30× 5/18 m/sec = (25/3) m/sec
∴ Length of the train = 25/3 × 27 = 225 m
9) Answer (A)
Speed of the first train = (200/15) m/sec = (40/3) m/sec
Let the speed of the second train be x m/sec
Relative speed = (40/3 +x) m/sec ∴ 400/(40/3 + x) = 12 ⟺ 400 = 12 (40/3+ x) ⟺ 400 = 160 + 12 x x = ((400-160))/12 = 240/12 = 20 m/sec
So, speed of second train = (20 × 18/5) km/hr = 72 km/hr
10) Answer (A)
Due to stoppages, it covers (40 – 29) = 11 km less
Time taken to cover 11 km = $\frac{11}{40}*60 = 16.5$ min
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11) Answer (C)
Let the correct time to complete the journey be x min.
Distance covered in (x + 11) min. at 40 kmph = Distance covered in (x + 5) min. at 50 kmph
∴((x+11))/60 * 40=((x+5))/60 * 50
(40x+440)/60=(50x+250)/60
Or, 50x-40x=440-250
Or, 10x=190
Or, x=190/10=19min
12) Answer (B)
Distance = Speed × Time = 78 × 5/18 × 60 = 1300 m
∴ Length of the tunnel = 1300 – 800 = 500 m
13) Answer (B)
Speed of the train relative to man = (60 – 12) km/hr = 48 × 5/18 m/sec = 40/3 m/sec
Time taken by the train to cross the man = Time taken by it to cover 200 m at (40/3) m/sec = 200 × 3/40 sec = 15 sec
14) Answer (B)
Average speed = (Total distance travelled/(Total time taken) =160/(120/80+40/40)=16/2.5=160×2/5 =64 km/h
15) Answer (D)
Time taken to cover 375 km = (375/75)h = 5h
Number of stoppages =375/125-1 = 2
Total time to stoppages = (5 × 2) min = 10 min
Hence, total time taken = 5 h 10 min
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16) Answer (E)
Since the trains are moving at the same speed, to calculate time taken, relative speed ie difference of speeds (0) will be in the denominator.
17) Answer (D)
(x+5)*40 = 400 (Where x is speed of the train)
x=5
18) Answer (A)
(400+600)/(6-4) = 500 sec. (Total distance/relative velocity)
19) Answer (D)
relative speed of train B w.r.t. A = 45 km/h
distance between them = 90 km.
Time taken to cross each other = 2 h
20) Answer (B)
(x+10)*(4/3600) = 400/1000 (Where x is speed of the train in kmph)
x=26
21) Answer (C)
total distance travelled = 800
speed will be = 800/5 = 160 m/s.
22) Answer (B)
Total distance = 600 meter
Relative speed = 40 km/h or 40*(5/18) m/s
Time taken to cross each other = 600*18/5*40 = 54 seconds
23) Answer (C)
Total distance to be covered = 500 m
Time taken = 500/10 = 50s
24) Answer (D)
The relative speed of the train with respect to the man is 300/15 = 20 m/s
As the man is running in the same direction, the absolute speed of the train equals 20+5 = 25 m/s
Converting this into km/hr, the speed is 25*3.6 = 90 km/hr
25) Answer (C)
Let’s say speed of train is x m/s
So time taken to cross = length of train/relative speed of train and bike = 200/(36+x) = 2
Hence, x = 64 m/s
