Question

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

Answer 1

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

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
`x.`

Total distance = 12 miles.

Now, find the distance by putting formula:

Distance = speed × time.

Distance Sally runs towards Molly (D1) =
`5* x=5x.`

Distance Molly walks towards Sally (D2) =
`3* x=3x.`

Now, to get the time:

Total distance = D1 + D2.

`12=5x+3x`

`12=8x`

Dividing both sides by 8 we get:

`(3)/(2) =x`

`x=(3)/(2)`

`x=1(1)/(2)`

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.