SOLUTION: Hi! I'm super confused by this word problem. Here it is: A man walks 31 miles, partly at the rate of 2 miles per hour and the rest at the rate of 5 miles per hour. If he had

Question 1128196: Hi!
I'm super confused by this word problem. Here it is:
A man walks 31 miles, partly at the rate of 2 miles per hour and the rest at the rate of 5 miles per hour. If he had walked at the the rate of 5 miles per hour for the same time as he actually walked at the rate of 2 miles per hour, and vice versa, he would have covered 15 miles more than he did. How long did it take him to walk the 31 miles?
Thank you very much!
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

        SPEED        TIME        DISTANCE

        2            x            2x
        5            y            5y
TOTAL                             31


        SPEED        TIME        DISTANCE

        5            x            5x
        2            y            2y
TOTAL                             31+15

Total time, 11 hours
RELATED QUESTIONS
A man walks 31 miles, partly at the rate of 2 miles per hour and the rest at the rate of... (answered by ankor@dixie-net.com)

hi can someone help me with this.. Town A is 11 miles west of Town B. A man walks from (answered by lwsshak3)

a man walks 31 mile, partly at teh rate of 2mph and the rest is 5mph. if he had walked... (answered by ankor@dixie-net.com)

a 226 mile trip was taken partly by canoe at an average rate of 8 miles per hour and... (answered by josmiceli)

Suppose a race car travels at an average rate of 165 miles per hour for 3 hours. What... (answered by josgarithmetic)

This is a Distance, Rate and Time Problem: A man walks at the rate of 4 miles per... (answered by ankor@dixie-net.com)

A man walks at a pace of 2 miles per hour east. Is this his speed or velocity? why? (answered by Alan3354)

Hi, I'm having trouble with a word problem. Here it is: Seth climbed a mile high hill at... (answered by fractalier)

Hi there, I am trying to solve this problem for a friend. I have been out of school for... (answered by nerdybill)