Question

Aya and Mary are 12 miles apart on a path when they start moving toward each other.

Aya runs at a constant speed of 5 miles per hour, and Mary walks at a constant speed
of 3 miles per hour. How long does it take until Aya and Mary meet?
Pleaseee help

Answer 1

1.5 hours

Explanation:

According to the scenario, computation of the given data are as follows,

Aya and Mary distance = 12 miles

Let, meeting point from Aya = Z miles

So, Aya covers Z miles to reach Mary.

Hence, Mary covers (12 - Z ) miles to reach Aya

Here, Time =
`(Distance)/(Speed)`

Aya =
`(Z)/(5)`

Mary =
`(12-Z)/(3)`

If, same time taken, then we can solve by following method,

`(Z)/(5) = (12-Z)/(3)`

By solving the equation, we get

Z = 60 ÷ 8

Or Z = 7.5 miles

Hence, time taken for both to meet = 7.5 ÷ 5

= 1.5 hours