SOLUTION: The speed of the current in the RAnge River is 3 mph. Marie can kayak 4 miles upstream in the same amount of time it takes her to kayak 10 miles downstream. What is the speek of

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The speed of the current in the RAnge River is 3 mph. Marie can kayak 4 miles upstream in the same amount of time it takes her to kayak 10 miles downstream. What is the speek of      Log On

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Question 157716: The speed of the current in the RAnge River is 3 mph. Marie can kayak 4 miles upstream in the same amount of time it takes her to kayak 10 miles downstream. What is the speek of the kayak if traveling in calm water?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
4=(S-3)T OR T=4/(S-3)
10=(S+3)T OR T=10/(S+3)
4/(S-3)=10/(S-3) CROSS MULTIPLY
10(S-3)=4(S+3)
10S-30=4S+12
10S-4S=12+30
6S=42
S=42/6
S=7 MPH FOR THE CANOE IN CALM WATER.
PROOF:
4/(7-3)=10/(7+3)
4/4=10/10
1=1