SOLUTION: A motorboat can maintain a constant speed of 34 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 39 minutes; the return trip takes 29 minu
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Question 211029: A motorboat can maintain a constant speed of 34 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 39 minutes; the return trip takes 29 minutes. What is the speed of the current in miles per hour?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A motorboat can maintain a constant speed of 34 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 39 minutes; the return trip takes 29 minutes. What is the speed of the current in miles per hour?
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Distance upstream = (34-c)(39/60) miles
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Distance downstream = (34+c)(29/60) miles
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Equation:
distance = rate*time
distance up = distance down
(34-c)(39/60) = (34+c)(29/60)
Multiply both sides by 60 to get:
39(34-c) = 29(34+c)
39*34 - 39c = 29*34 + 29c
68c = 340
c = 5 mph (speed of the current)
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Cheers,
Stan H.
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