Sally and molly are 12 miles away from each other. Sally runs 5 mph towards Molly, and Molly walks 3 mph towards Sally. How long will it take them to meet each other

Respuesta :

Answer:

The time it will take them to meet each other is 1 hour and 30 minutes.

Step-by-step explanation:

Given:

Sally and molly are 12 miles away from each other.

Sally runs 5 mph towards Molly, and Molly walks 3 mph towards Sally.

Now, to find the time it will take them to meet each other.

Let the time be [tex]x.[/tex]

Total distance = 12 miles.

Now, find the distance by putting formula:

Distance = speed × time.

Distance Sally runs towards Molly (D1) = [tex]5\times x=5x.[/tex]

Distance Molly walks towards Sally (D2) = [tex]3\times x=3x.[/tex]

Now, to get the time:

Total distance = D1 + D2.

[tex]12=5x+3x[/tex]

[tex]12=8x[/tex]

Dividing both sides by 8 we get:

[tex]\frac{3}{2} =x[/tex]

[tex]x=\frac{3}{2}[/tex]

[tex]x=1\frac{1}{2}[/tex]

The time = 1 and 1/2 hour.

That is 1hour and 30 minutes.

Therefore, the time it will take them to meet each other is 1 hour and 30 minutes.