SOLUTION: You row upstream at 5 mph and downstream at 11 mph. You row upstream until you get tired and then downstream to your starting point. How far did you row if the entire trip took 4 h

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Question 490841: You row upstream at 5 mph and downstream at 11 mph. You row upstream until you get tired and then downstream to your starting point. How far did you row if the entire trip took 4 hours?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You row upstream at 5 mph and downstream at 11 mph.
You row upstream until you get tired and then downstream to your starting point. How far did you row if the entire trip took 4 hours?
:
Let d = the one-way dist rowed
:
Write a time equation, time = dist/speed
:
up time + down time = 4 hrs
d%2F5 + d%2F11 = 4
multiply eq by 55, results
11d + 5d = 55(4)
16d = 220
d = 220%2F16
d = 13.75 distance one way, or total of 2(13.75) = 27.5 miles
:
:
Check your solution by finding the actual time each way
13.75/5 = 2.75 hrs
13.75/11 =1.25 hrs
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total time: 4 hrs