A walks at a uniform rate of 4 km an hour, and 4 hours after his start, B bicycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A
A walks at a uniform rate of 4 km an hour, and 4 hours after his start, B bicycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A 1). 16.7 km 2). 18.6 km 3). 21.5 km 4). 26.7 km
Distance covered by A in 4
hours = 4 × 4 = 16 km
Relative speed of B with respect
to A = 10 – 4 = 6 km/hr
Time taken to catch A
=$\frac{16}{6}=\frac{8}{3} \ hours$
Required distance
=$\frac{8}{3} \ x\ 10 =\frac{80}{3}$
= 26.67 km. » 26.7 km