Question

8. You and your friend start driving toward each other. You are 200 miles further away, moving closer at 53 miles per hour. Your friend is driving 47 miles per hour. How many hours will it take for you to meet?

Define your variable:
Write an equation:
Solve:
Check:

Answer 1

33 1/3 or 100/3

Explanation:

Note that as you drive 6 miles per hour faster than your friend, you catch up 6 miles every hour. Let t be the number of hours elapsed(defining the variable). So, we want to solve the equation for t: 6t=200(write the equation). This equation might remind you of the d=rt equation. 200(miles) is the distance, 6(mph) is the rate and t(hours) is the time.

Dividing both sides of the equation by 6 gives t=200/6, so t=100/3 or 33 1/3 hours(Solve)

The check is left as an exercise.