# Find the length of the bridge, which a train 130 metre long and travelling at 45 km/hr can cross in 30 seconds.

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Find the length of the bridge, which a train 130 metre long and travelling at 45 km/hr can cross in 30 seconds.
1. 245 metre
2. 225 metre
3. 200 metre
4. 250 metre

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Correct Answer - Option 1 : 245 metre

Given:

Speed $=\left(45 \times \dfrac{5}{18}\right)$ m/sec $=\left(\dfrac{25}{2}\right)$ m/sec

Time = 30 sec.

Formula Used:

Distance = Speed × Time

Calculation:

Let the length of bridge be x metres.

$\dfrac{10+x}{30}=\dfrac{25}{2}$
⇒ 2(130 + x) = 750

⇒ x = 245 m.

Conclusion:

Length of bridge will be 245 metres