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Two buses start from a bus terminal with a speed of 20 km/h 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/h
b) 4 km/h
c) 5 km/h
d) 7 km/h

Answer: c
Explanation: Let Speed of the man is x kmph.
Distance covered in 10 minutes at 20 kmph = distance covered in 8 minutes at (20 + x) kmph.
$$20 \times \frac{{10}}{{60}} = \frac{8}{60}\times\left(20+x\right) $$
200 = 160 + 8x
8x = 40
x = 5kmph.

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