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Quantitative Aptitude

Running in Circles

How long does...

Question

How long does a train 110 metres long running at the speed of 72 kmph take to cross a bridge 132 metres in length?

A

9.8 sec

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B

12.1 sec

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C

12.42 sec

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D

14.3 sec

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E

14.9 sec

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Solution

The correct option is B
12.1 sec

Speed = $(72 \times \frac{5}{18}) m / s e c$ = 20m/sec

Total distance covered = (110+132) m = 242 m

$∴$ Required time = $(\frac{242}{20}) s e c$ = 12.1 sec.

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