Question

Ony is 12 of a mile ahead of laura on a jogging path. if tony is running at 5 miles per hour, and laura is running at 7 miles per hour, how long will it take laura to catch up with tony?

Answer 1

Laura will take $\frac{1}{4}$ hour or 15 minutes to catch up with Tony.

Explanation

Distance between Tony and Laura is $\frac{1}{2}$ miles and the difference of their speeds = (7 - 5 ) mph = 2 mph

For catching up with Tony, Laura needs to travel that $\frac{1}{2}$ miles with the speed of 2 mph

As, Distance = speed × time

So,  $\frac{1}{2}$ = 2 × t

⇒ t = $\frac{\frac{1}{2}}{2} = \frac{1}{4}$ hour = $\frac{1}{4}$ × 60 minutes = 15 minutes

That means, Laura will take $\frac{1}{4}$ hour or 15 minutes to catch up with Tony.