SOLUTION: There are two boats starting from the same point. One travelling towards the east and the other towards the north. After an hour, they are 10 km apart. If the speed of one boat is

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Question 1115462: There are two boats starting from the same point. One travelling towards the east and the other towards the
north. After an hour, they are 10 km apart. If the speed of one boat is 2kph more than the speed of the other
boat, what is the speed of the faster boat?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
%28r%2A1%29%5E2%2B%28%28r%2B2%29%2A1%29%5E2=10%5E2
-
r%5E2%2Br%5E2%2B4r%2B4=100
2r%5E2%2B4r-96=0
r%5E2%2B2r-48=0
%28r%2B6%29%28r-8%29=0

highlight%28r=8%29-----slow boat
r%2B2=highlight%2810%29-----fast boat

Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct answers are:

    The slow boat speed is 6 km/h.


    The fast boat speed is 8 km/h.


Be aware:   calculations and answers by  @josgarithmetic  are   I N C O R R E C T  !