SOLUTION: A motorboat can maintain a constant speed of 31 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 60 minutes the return trip takes

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Question 1012877: A motorboat can maintain a constant speed of
31
miles per hour relative to the water. The boat makes a trip upstream to a certain point in
60 minutes
the return trip takes
33
minutes. What is the speed of the​ current

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
C=speed of current; 33min/(60 min/hr)=0.55 hour
.
Since distance is the same,
upstream: rate x time = downstream: rate x time
.
(31mph-C)(1 hour)=(31mph+C)(0.55 hour)
31-C=17.05+0.55C
13.95=1.55C
9=C
ANSWER: The speed of the current is 9 mph.
.