SOLUTION: A fisherman takes his boat out to sea and then back to the harbor. The entire trip lasts 8 hours. If he travels out at 18 mph and follows the same route back at 14 mph. How many

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Question 519747: A fisherman takes his boat out to sea and then back to the harbor. The entire trip lasts 8 hours. If he travels out at 18 mph and follows the same route back at 14 mph. How many miles does he travel altogether?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A fisherman takes his boat out to sea and then back to the harbor.
The entire trip lasts 8 hours. If he travels out at 18 mph and follows the same route back at 14 mph.
How many miles does he travel altogether?
:
Let d = the one-way distance
:
Write a time equation, time = dist/speed
:
d%2F18 + d%2F14 = 8 hrs
Multiply by the LCM of 18 and 14, which is 252:
252*d%2F18 + 112*d%2F14 = 252(8)
Cancel the denominators: results:
14d + 18d = 2016
32d = 2016
d = 2016%2F32
d = 63 miles one way
then
2(63) = 126 mi altogether
:
:
Check solutions by finding the times
63/18 = 3.5 hrs
63/14 = 4.5 hrs
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total: 8 hrs