Help with Algebra word problem (find rate)?
I just took an algebra test today at college, and I’m wondering if I answered this word problem correctly.
Jim rides a bicycle to school and takes a route that is 17 miles. On the way back, Jim takes a different route home. This route is 22 miles. The route on the way home took one hour longer than the first route. What is his rate of speed?(mph)
My answer was 5 mph. Please answer step by step so I can fully understand this problem.
On one side of the equation I had: 17 over x = 22 over x – 1 (for one hour)
With the LCD being x, I then got 17 = 22 – x Then I got – 5 = – x Then 5=x
Please let me know if I did this right!!
Hi,
17……..22
—–.=.—— – 1
..x……….x
17 = 22 – x
x = 5
You are correct!! I hope this helps!! 
Osaka Japan bike ride with Dungen
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