Question 84

A man travelled a distance of 99 km in 9 hours. He travelled partly on foot @ 9 km/hr and partly on bicycle @ 18 km/hr. What is distance (in kms) travelled on foot?

Solution

Total distance travelled by man = 99 km in 9 hours

Let distance travelled on foot = $$d$$ km

=> Distance travelled on bicycle = $$(99-d)$$ km

Speed on foot = 9 km/hr and on bicycle = 18 km/hr

Using, time = distance/speed

Total time taken = $$\frac{d}{9}+\frac{99-d}{18}=9$$

=> $$\frac{1}{9}(d+\frac{99-d}{2})=9$$

=> $$\frac{2d+99-d}{2}=81$$

=> $$d+99=81\times 2=162$$

=> $$d=162-99=63$$ km

=> Ans - (C)

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