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A 180 m train overtakes a man walking at 3 km/h in its direction in 12 seconds. How long will it take to pass a woman walking at 3 km/h towards it?

Competition practiceProblems on Trains

A10.8 s
B12 s
C10.3 s
D11.4 s

Step-by-Step Solution

Relative to the man:

\frac{180}{12} = 15

m/s

= 54

km/h, so the train runs at 57 km/h. Towards the woman:

57 + 3 = 60

km/h

= \frac{50}{3}

m/s. Time

= 180 \div \frac{50}{3} = 10.8

s.

Answer: A) 10.8 s

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