SOLUTION: Kate can row a boat 10 miles per hour in still water. In a river where the current is 5 miles per hour, it takes her 4 hours longer to row a given distance upstream than to travel

Question 1002733: Kate can row a boat 10 miles per hour in still water. In a river where the current is 5 miles per hour, it takes her 4 hours longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many miles does the row one way
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

rate time distance UPST 10-5=5 t+4 d DOWN 10+5=15 t d

RT=D basic uniform travel rates rule

because distance is d both directions.

Going upstream, 2 hours
Going downstream, 6 hours

You can find d.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Kate can row a boat 10 miles per hour in still water. In a river where the current is 5 miles per hour, it takes her 4 hours longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many miles does the row one way
Let distance be D
Then time taken to row upstream is: , or
Time taken to row downstream is: , or
Since upstream time takes 4 hours longer than downstream time, then we get:

3D � 60 = D ------- Multiplying by LCD, 15
3D � D = 60
2D = 60
D, or distance = , or miles
Time taken to row upstream: , or , or hours
Time taken to row downstream: , or , or hours
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