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
`(1)/(4)` hour or 15 minutes to catch up with Tony.

Step-by-step explanation

Distance between Tony and Laura is
`(1)/(2)` miles and the difference of their speeds = (7 - 5 ) mph = 2 mph

For catching up with Tony, Laura needs to travel that
`(1)/(2)` miles with the speed of 2 mph

As, Distance = speed × time

So,
`(1)/(2)` = 2 × t

⇒ t =
`((1)/(2))/(2) = (1)/(4)` hour =
`(1)/(4)` × 60 minutes = 15 minutes

That means, Laura will take
`(1)/(4)` hour or 15 minutes to catch up with Tony.