A 60 m long train moving on a straight level track passes a pole in 5

Question

60 m

long train moving on a straight level track passes a pole in

5 s

. Find the speed of the train and the time it will take to cross a

540 m

long bridge.

Options:

A . 13 ms−1, 40 s

B . 25 ms−1, 30 s

C . 12 ms−1, 50 s

D . 15 ms−1, 65 s

Answer: Option C
:
C
Given:
Length of the train,

D = 60 m

,
Time taken to cross the pole,

T = 5 s

,
Length of the bridge

= 540 m

Speed of the train, s = \frac{D}{T}

Speed of the train, s = \frac{60}{5} = 12 m s^{- 1}

Now, distance to be covered to cross a

540 m

long bridge is sum of Length of the train and Length of the bridge.

d = 60 + 540 = 600 m

∴ Time taken = \frac{d}{s}

Time taken = \frac{600}{12} = 50 s

∴

Speed of thetrain is

12 m s^{- 1}

and the time it will take to cross the bridge is

50 s

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