# SOLUTION: A motorboat can go 10 miles downstream on a river in 20 min. Its takes 30 min.for this boat to go back upstream the in same 10 miles. Find the speed of the current.

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 Click here to see ALL problems on Miscellaneous Word Problems Question 104705: A motorboat can go 10 miles downstream on a river in 20 min. Its takes 30 min.for this boat to go back upstream the in same 10 miles. Find the speed of the current.Answer by ankor@dixie-net.com(15745)   (Show Source): You can put this solution on YOUR website!A motorboat can go 10 miles downstream on a river in 20 min. Its takes 30 min.for this boat to go back upstream the in same 10 miles. Find the speed of the current. : Let x = speed of boat in still water Let y = speed of the current : Change minutes to hrs: 20 min = .33 hrs; 30 min = .5 hrs : Find the actual speeds, Speed = Dist/time Down stream: 10/.33 = 30 mph Upstream: 10/.5 = 20 mph : Two equations: x + y = 30 x - y = 20 ------------adding eliminates y 2x + 0y = 50 x = 50/2 x = 25 mph is the boat speed in still water. : Find the current: 25 + y = 30 y = 5 mph is the current