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There are 2 trains P and Q moving in same direction. They are of equal length and cross a stationary pole in 5 seconds and 6 seconds respectively. In how much time would they cross each other?

A.

60 seconds

B.

30 seconds

C.

11 seconds

D.

1 seconds

Answer with explanation

Answer: Option AExplanation

Length of the train = l meter.

Speed of the two trains are l/5 and l/6.

Total distance = 2l.

In same direction Relative speed is (l/5 – l/6).

= l/5 – l/6 = l/30.

Required Time = Distance/Speed.

= 2l/(l/30) = 60 seconds.

Shortcut method:

Formula = 2(Product of time taken)/Difference of time taken.

= 2(6 * 5)/(6 – 5) = 2 * 30 = 60 seconds.

Workspace

A train sets off at 2:00 pm at the speed of 70 kmph. Another train starts at 3:30 pm in the same direction at the rate of 85 kmph. At what time the trains will meet?

A.

10:45 pm

B.

8:30 pm

C.

10:30 pm

D.

9:30 pm

Answer with explanation

Answer: Option CExplanation

D = 70 * 1 1/2 = 105 km

RS = 85 – 70 = 15

T = 105/15 = 7 h

3:30 + 7 h = 10:30 pm

Workspace

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 ?

A.

27 7/9

B.

29 7/9

C.

28 7/9

D.

30 7/9

Answer with explanation

Answer: Option AExplanation

Workspace

Two trains A and B start running together from the same point in the same direction at 60kmph and 72kmph respectively. If the length of each train is 240m. How long will it take for the train B to cross train A?

A.

1min 24 sec

B.

2min 24 sec

C.

1 min 12sec

D.

None of these

Answer with explanation

Answer: Option BExplanation

Explanation:

Relative speed =(72 -60)kmph

= 12kmph = (12 x 5/18)m/sec = 10/3 m/sec

Total distance covered =(240 +240)m =480m

Required time =(480 x 3/10)sec = 144sec = 2min 24 sec.

Workspace

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