SOLUTION: A long distance trucker traveled 180 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. F

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Question 315627: A long distance trucker traveled 180 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. Find the speed going.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A long distance trucker traveled 180 miles in one direction during a snow storm.
The return trip in rainy weather was accomplished at double the speed and took 5 hours less time.
Find the speed going.
:
Let s = the speed going
then
2s = return speed
:
Write a time equation: time = dist/speed
:
go time - return time = 5 hrs
180%2Fs - 180%2F%282s%29 = 5
multiply by 2s, results:
2(180) - 180 = 2s(5)
360 - 180 = 10s
180 = 10s
s = 180%2F10
s = 18 mph going
:
:
check solution by finding the actual times
180/18 = 10 hrs
180/36 = 5 hrs
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differ = 5 hrs