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A boy can row a boat at a constant rate of 5 mi/hr in still water. He rows upstream for 15 minutes and downstream, returning to his starting point in another 12 minutes. What is the rate of the current? What is the total distance traveled?
 2 years ago
 2 years ago
A boy can row a boat at a constant rate of 5 mi/hr in still water. He rows upstream for 15 minutes and downstream, returning to his starting point in another 12 minutes. What is the rate of the current? What is the total distance traveled?
 2 years ago
 2 years ago

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LeonardJBest ResponseYou've already chosen the best response.1
15/60 = D/(5C) 12/60 = D/(5+C) C = CURRENT RATE D = 1/2 TOTAL DISTANCE
 2 years ago

robtobeyBest ResponseYou've already chosen the best response.0
Rate * Time = Distance. Solve the following for c, the speed of the current in miles/hour:\[(5c)\frac{15}{60}\text{ = }(5+c)\frac{12}{60}\]\[\left\{c\to \frac{5}{9}\right\} \]c = 5/9 mph\[\text{distance} =\left(5\frac{5}{9}\right)\frac{15}{60}=\frac{10}{9}=1.11\text{miles} \]
 2 years ago
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