SOLUTION: A motorboat can maintain a constant speed of 13 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 38 ​minutes; the return trip t

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Question 1123831: A motorboat can maintain a constant speed of
13 miles per hour relative to the water. The boat makes a trip upstream to a certain point in
38 ​minutes; the return trip takes
14 minutes. What is the speed of the​ current?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28%2813-c%29=d%2F%2838%2F60%29%2C%2813%2Bc%29=d%2F%2814%2F60%29%29

Question is to find c.

%2838%2F60%29%2813-c%29=%2814%2F60%29%2813%2Bc%29

%2819%2F30%29%2813-c%29=%287%2F30%29%2813%2Bc%29
19%2813-c%29=7%2813%2Bc%29
19%2A13-19c=7%2A13%2B7c
19%2A13-7%2A13=7c%2B19c
12%2A13=26c
6%2A2%2A13=2%2A13%2Ac
highlight%28c=6%29