1)

A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A ?


A) 26.7 km

B) 36.7 km

C) 46.7 km

D) 25.7 km

E) 27.7 km

Answer:

Option A

Explanation:

Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover $x$ km and that taken by B to cover $x$ km is 4 hours.

$\frac{x}{4}-\frac{x}{10}=4 $ or $x$ = 26.7 km