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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?

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Answer:

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

Step-by-step 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.

[tex]4(2x + 7) = 68[/tex]

[tex]8x + 28 = 68[/tex]

[tex]8x = 40[/tex]

[tex]x = \frac{40}{8}[/tex]

[tex]x = 5[/tex]

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

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