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
Answer:
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
solved
general 11 months ago 7131