SOLUTION: Jim can run 5 miles per hour on level ground on a still day. One windy day he runs 15 miles with the wind and in the same amount of time runs 4 miles against the wind. What is the

Question 846234: Jim can run 5 miles per hour on level ground on a still day. One windy day he runs 15 miles with the wind and in the same amount of time runs 4 miles against the wind. What is the rate of the wind?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his time for running both
with the wind and against the wind
Let = the speed of the wind
--------------------------------
With the wind:
(1)
Against the wind:
(2)
---------------------
(1)
and
(2)
---------------------
Add the equations:
(1)
(2)

and
(2)
(2)
(2)
(2)
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
close enough
The wind speed is 2.895 mi/hr

RELATED QUESTIONS
Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10... (answered by Paul)

jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10... (answered by Paul)

Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 13... (answered by ankor@dixie-net.com)

Solve the problem and show the work. Jim can run 5 miles per hour on level ground on a... (answered by ptaylor)

HELP!!! I have worked this problem and can't get it. Problem: Jim can run 5 miles... (answered by fractalier,mbarugel,AnlytcPhil)

Jim can run 5 miles per hour on a level ground on a still day. One windy day, he runs 11... (answered by scott8148,mananth)

Solve the problem. Jan can run 5 miles per hour on level ground on a still day. One... (answered by checkley71)

Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 15... (answered by josmiceli)

A boater travels 16 miles per hour on the water on a still day. During one particular... (answered by jorel1380)