Two buses start from a bus terminal with a speed of 20 km/hr at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?
A
3 km/hr
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B
4 km/hr
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C
5 km/hr
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D
7 km/hr
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Solution
The correct option is C5 km/hr Let speed of the man be x km/hr.
Distance covered in 10 minutes at 20 km/hr = Distance covered in 8 minutes at (20+x) km/hr. ⇒20×1060=(20+x)×860 ⇒200=160+8x ⇒8x=40
Hence, speed of the man =5 km/hr.