Question 62

A train crosses a pole in 12 sec, and a bridge of length 170 m in 36 sec. Then the speed of the train is:

Solution

Let the speed of train be s m/sec and length be l.

A train crosses a pole in 12 sec.

Distance = speed $$\times$$ time

l = 12s ---(1)

A train crosses a bridge of length 170 m in 36 sec.

Total length = l + 170

l + 170 = 36s ----(2)

Put the value l in eq (2),

12s + 170 = 36s

s = 170/24 = 7.08 m/sec = 7.08 $$\times \frac{18}{5} = 25.5 m/sec

$$\therefore$$ Speed of the train is 25.5 m/sec.

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