Question

Help ASAP

Jamal and Diego both leave the restaurant at the same time, but in opposite directions. If Diego travels 7 mph faster than Jamal and after 4 hours they are 68 miles apart, how fast is each traveling?

Answer 1

Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.

Explanation:

Jamal's speed is of x mph.

Diego's speed is of (x + 7) mph.

Opposite directions.

This means that each hour, they will be x + x + 7 = 2x + 7 miles apart.

After 4 hours they are 68 miles apart, how fast is each traveling?

Using a rule of three.

1 hour - 2x + 7 miles apart.

4 hours - 68 miles apart.

`4(2x + 7) = 68`

`8x + 28 = 68`

`8x = 40`

`x = (40)/(8)`

`x = 5`

Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.