Question 79

A man starts cycling from A to B and, at the same time, another man starts cycling from B to A along the same path. They completed their journeys in $$1\frac{2}{3}$$ and $$2\frac{2}{5}$$ hours, respectively. At what speed has the second man cycled if the first cycles at 16 km/h?

Solution

Distance travelled by A and B is same.

Time taken by A to complete the journey = $$\frac{5}{3}$$ h

Speed at which A travelled = 16 km/h

Distance travelled by A = $$\frac{5}{3} \times 16 = \frac{80}{3}$$ km

Now, speed of the second man is given by,

S = $$\frac{80/3}{12/5}$$

S = $$\frac{80 \times 5}{3 \times 12}$$

S = $$\frac{100}{9} = 11\frac{1}{9}$$ km/h

Hence, option C is the correct answer.

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