SOLUTION: A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far di

Algebra ->  Expressions-with-variables -> SOLUTION: A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far di      Log On


   



Question 1070195:
A fisherman can row upstream at 2

mph and downstream at 8

mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 7

​hours?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A fisherman can row upstream at 2 mph and downstream at 8 mph.
He started rowing upstream until he got tired and then rowed downstream to his starting point.
How far did the fisherman row if the entire trip took 7 hours?
:
let d = the distance to the turn around point
:
Write a time equation; time = dist/speed
up time + down time = 7 hrs
d%2F2 + d%2F8 = 7
multiply by 8
8*d%2F2 + 8*d%2F8 = 8(7)
cancel the denominators
4d + d = 56
5d = 56
d = 11.2 mi to turn around,
He rowed a total of 22.4 mi
:
;
Check this solution, find the actual time each way
11.2/2 = 5.6 hrs
11.2/8 = 1.4 hrs
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tot time:7 hrs