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A train 348 m long is running at a speed of 36 km/hr. It crosses a bridge in 50 seconds. What is the length of the bridge?
Question

A train 348 m long is running at a speed of 36 km/hr. It crosses a bridge in 50 seconds. What is the length of the bridge?

A.

176 m

B.

152 m

C.

146 m

D.

103 m

Correct option is B

Given:

Length of the train = 348 m

Speed of the train = 36 km/hr

Time taken to cross the bridge = 50 seconds

Formula Used:

Speed = DistanceTime\frac{\text{Distance}}{\text{Time}}​​

Convert speed from km/hr to m/s:

Speed in m/s = Speed in km/hr ×\times518 \frac{5}{18}

Length of the bridge = Distance Covered - Length of the train​​

Solution:

Convert the speed of the train into m/s:

Speed in m/s =  36×518=10 m/s36 \times \frac{5}{18} = 10 \, \text{m/s}​​

Distance = 10×50=500 m10 \times 50 = 500 \, \text{m}​​

Length of the bridge = 500 - 348 = 152 m

Thus, the correct option is (b) 152

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