SOLUTION: a motor boat travelling at 18 miles per hour traveled the length of a lake in one quarter of an hour less time than it took when traveling at 12 miles per hour.what was the length

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Question 880828: a motor boat travelling at 18 miles per hour traveled the length of a lake in one quarter of an hour less time than it took when traveling at 12 miles per hour.what was the length in miles of the lake?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a motor boat travelling at 18 miles per hour traveled the length of a lake in one quarter of an hour less time than it took when traveling at 12 miles per hour.
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Let d = distance across the lake
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Write a time equation, time = dist/speed
12mph time - 18mph time = 1/4 hr
d%2F12 - d%2F18 = 1%2F4
multiply equation by 36, cancel the denominators, and we have:
3d - 2d = 9
d = 9 miles across the lake
:
:
Check this
9%2F12 - 9%2F18 = 1%2F4
3%2F4 - 2%2F4 = 1%2F4