Question 59

A 750 metres long train crosses a stationary pole in 15 sec. Travelling at the same speed, this train crosses a bridge completely in 25 sec. What is the length of this bridge (in metres)?

Solution

A 750 metres long train crosses a stationary pole in 15 sec.

Speed of train = $$\frac{length\ of\ train}{time}$$ = $$\frac{750}{15}$$

= 50 m/s

Travelling at the same speed, this train crosses a bridge completely in 25 sec.

Let's assume the length of this bridge is 'y'.

$$\frac{750+y}{25}\ =\ 50$$

750+y = 1250

y = 1250-750

Length of this bridge = 500 metres

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