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A train $50 m$ long passes over a bridge at a velocity of $30 km / h$ . If it takes $36 s$ to cross the bridge, the length of the bridge will be__ $m$ ?

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Detailed Solution

A train

50 m

long passes over a bridge at a velocity of

30 km / h

. If it takes

36 s

to cross the bridge, the length of the bridge would be

250 m

.
Velocity

(v) = 30 km / h

= 30 \times \frac{5}{18}

= 8.3 m / s

Time taken to cross the bridge

= 36 s

Let the length of the bridge be

L

.
Distance covered by train to cross

(d) = 50 + L

So,

L + 50 = 36 \times 8.3

Therefore,

L = 250 m

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