[40 sec] A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

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TNPSC G4

10th CBSE Maths

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

40 sec

42 sec

45 sec

48 sec

Explanation:

Formula for converting from km/hr to m/s: $x$ km/hr =$ \left(x \times\dfrac{5}{18} \right) $m/s.

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

Total distance to be covered = (360 + 140) m = 500 m.

$\therefore$ Required time =$ \left(\dfrac{500 \times 2}{25} \right) $sec= 40 sec.

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