# Help Solving Rate Problem

• Feb 26th 2011, 02:03 PM
wizkid94
Help Solving Rate Problem
I am usually pretty good with rate problems, but I can't figure this one out.

Problem:
On the 24-mile trip to school, Brandon sauntered at a leisurely pace. Thus, he had to double his speed on the way back to complete the trip in 9 hours. How fast did he travel in each direction, and what were the two times?

(I don't simply want the answer. I want to know how to do it.)

Thank you
• Feb 26th 2011, 02:29 PM
HallsofIvy
Quote:

Originally Posted by wizkid94
I am usually pretty good with rate problems, but I can't figure this one out.

Problem:
On the 24-mile trip to school, Brandon sauntered at a leisurely pace. Thus, he had to double his speed on the way back to complete the trip in 9 hours.

So he "sauntered to shool" while going at twice that pace back home?. Using "x" as his pace while "sauntering" , he took 24/x hours to get to school and 24/(2x)= 12/x hour to go back home. Solve 24/x+ 12/x= 9 to find x.

Quote:

How fast did he travel in each direction, and what were the two times?

(I don't simply want the answer. I want to know how to do it.)

Thank you