Kyle and his brother Joel leave a rest stop at the same time traveling in opposite directions. After traveling for 6 hours, they are 780 miles apart. If Kyle drives 10 miles per hour faster than Joel, how fast was Joel traveling? Kyle and his brother Joel leave a rest stop at the same time traveling in opposite directions. After traveling for 6 hours, they are 780 miles apart. If Kyle drives 10 miles per hour faster than Joel, how fast was Joel traveling?

If anyone could explain, that would be great.

Question

Mathematics

Jaelyn

2 August, 12:39

Kyle and his brother Joel leave a rest stop at the same time traveling in opposite directions. After traveling for 6 hours, they are 780 miles apart. If Kyle drives 10 miles per hour faster than Joel, how fast was Joel traveling? Kyle and his brother Joel leave a rest stop at the same time traveling in opposite directions. After traveling for 6 hours, they are 780 miles apart. If Kyle drives 10 miles per hour faster than Joel, how fast was Joel traveling?

If anyone could explain, that would be great.

+1

Answers (1)

Know the Answer?

Ashley Rowe · Answer 1

Kyle's speed is represented by variable k.

Joel's speed is represented by variable j.

Kyle is 10 mph faster.

k = j+10.

Driving in opposite directions after 6 hrs, they are 780 mi apart.

6j + 6k=780

Substitute for k

6j + 6 (j+10) = 780

6j+6j+60=780

12j+60=780

12j=720

j=60

Final answer: Joel was travelling 60 mph