The length of two superfast trains are 140 mts and 160 mts respectively. If they

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Question
The length of two superfast trains are 140 mts and 160 mts respectively. If they run at the speed of 60 km/hr and 80 km/hr respectively in opposite direction, find the time in which they will cross each other ?
Options
A. 7.71 sec
B. 10.48 sec
C. 9.36 sec
D. 8.45 sec

Correct Answer

7.71 sec

Explanation

Given L1 = 140 m

L2 = 160 m

S1 = 60 km/hr

S2 = 80 km/hr

From the question we get,

S1 + S2 = (L1 + L2) / T

=> (60 + 80) 5/18 m/s = 140 + 160/T

=> T = 54/7 = 7.71 sec

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Problems on Trains

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1. A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Options
A. 5
B. 6
C. 7
D. 10

2. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?
Options
A. 45 kmph
B. 25 kmph
C. 30 kmph
D. 50 kmph

3. Two trains namely X & Y leave station 'A' at 6.30am and 7.40am and travel at 30km/hr and 40 km/hr respectively. How many kms from 'A' will the trains meet ?
Options
A. 140 kms
B. 120 kms
C. 96 kms
D. 142 kms

4. Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ?
Options
A. 60 sec
B. 48 sec
C. 45 sec
D. 34 sec

5. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Options
A. 27 7/9 mts
B. 25 8/7 mts
C. 21 1/4 mts
D. 22 mts

6. Agra and Delhi are 160 km apart. A train leaves Agra for Delhi and at the same time another train leaves Delhi for Agra. Both the trains meet 5 hrs after they start moving. If the train travelling from Agra to Delhi travels 6 km/hr faster than the other train, find the speed of the faster train?
Options
A. 19 kmph
B. 13 kmph
C. 7 kmph
D. 9 kmph

7. An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with 'x' m/s and coming back at '2x' m/s. Take total time of bird travelling as 187.5 s. Find x and 2x in km/hr ?
Options
A. 21.4 and 42.8
B. 25.2 and 50.4
C. 31.4208 and 62.8416
D. 33.12 and 66.24

8. Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?
Options
A. 387 kms
B. 242 kms
C. 145 kms
D. 444 kms

9. Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ?
Options
A. 10 sec
B. 11 sec
C. 12 sec
D. 8 sec

10. Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?
Options
A. 28 mts
B. 54 mts
C. 24 mts
D. 50 mts

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