Question

Runner A had a minor accident and is now 0.25 miles behind Runner B.

Runner B is currently has a speed of 7 miles per hour.


Runner A attempts to catch up runner B by running 8.5 miles per hour.


How long will it take Runner A to catch up to Runner B?

Answer 1

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Explanation:

Runner A is 0.25 miles behind Runner B.

Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.

This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.

How long will it take Runner A to catch up to Runner B?

1 hour - 1.5 miles

x hours - 0.25 miles

`1.5x = 0.25`

`x = (0.25)/(1.5)`

`x = (1)/(6)`

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.