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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 :

Answer:

1.5 hours

Step-by-step 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 = [tex]\frac{Distance}{Speed}[/tex]

Aya = [tex]\frac{Z}{5}[/tex]

Mary = [tex]\frac{12-Z}{3}[/tex]

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

[tex]\frac{Z}{5} = \frac{12-Z}{3}[/tex]

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

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