Question

# The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train stars from B at 9 a.m. and travels towards A at 75 km / hr. At what time do they meet ?

A
10 a.m.
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B
10.30 a.m.
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C
11 a.m.
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D
11.30 a.m.
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Solution

## The correct option is C 11 a.m.Total distance between A and B=330km/ht.∵ A start from A at 8.00a.m and B at 9.00a.m Time span=1hour.∴ Distance traveled by A in 1hr=60km.Now distance left when B will start=(330−60)km =270kmRelating speed of train A and B =60km/hr+75km/hr=135km/hr(Speed added because both train traveled towards each others.)∴ Time taken to meet A and B=270km135km/hr=2hr∴ Both train meets at=9a.m+2hr=11a.m

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