SOLUTION: Jack can run 5 miles in the same time that Diane can run 4 miles. If Jack runs 2 mph faster than Diane, what is the speed of each?

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Question 1109996: Jack can run 5 miles in the same time that Diane can run 4 miles. If Jack runs 2 mph faster than Diane,
what is the speed of each?
Found 3 solutions by jorel1380, josgarithmetic, greenestamps:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be Diane's speed, and n+2 be Jack's speed. Then:
5/n+2=4/n
5n=4n+8
n=8
Diane runs 8 mph. Jack runs 10 mph
☺☺☺☺

Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
r, Diane's speed
r+2, Jack's speed
5%2F%28r%2B2%29=4%2Fr

4%28r%2B2%29=5r
4r%2B8=5r
highlight%28r=8%29------Diane
-
r%2B2=10------------Jack

Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


Since Jack runs 5 miles when Diane runs 4, the ratio of their speeds is 5:4.

So let their speeds be represented by 5x and 4x.

Then, since we know Jack's speed is 2 mph faster than Diane's,

5x-4x=2
x+=+2

Jack's speed is 5x = 10 mph
Diane's speed is 4x = 8 mph