# SOLUTION: When Monique rented a boat to a cruise on the Sandy River, she was told that the boat takes 1.5 times as long to go 360 miles up a river than to return. If the boat cruises at 15

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: When Monique rented a boat to a cruise on the Sandy River, she was told that the boat takes 1.5 times as long to go 360 miles up a river than to return. If the boat cruises at 15       Log On

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 Question 88006: When Monique rented a boat to a cruise on the Sandy River, she was told that the boat takes 1.5 times as long to go 360 miles up a river than to return. If the boat cruises at 15 miles per hour in still water, what is the rate of the current?Answer by uma(370)   (Show Source): You can put this solution on YOUR website!Let the rate of current be x mph Speed of the boat = 15 mph Distance covered = 360 miles Speed while going up the river = 15 - x mph Speed while going down the river = 15 + x mph Time taken for upward journey = 360/(15 - x) Time taken for downward journey = 360/(15 + x) Thus the equation is 360/(15-x) = (1.5) [360/(15+x)] ==> 1/(15-x) = 1.5/(15+x) [dividing by 360 on both sides] ==> 15+x = 1.5(15-x) ==> 15+x = 22.5 - 1.5x ==> x + 1.5x = 22.5 - 15 ==> 2.5x = 7.5 ==> x = 7.5/2.5 ==> x = 3 Thus the rate of the current = 3 mph Good Luck!!!