SOLUTION: A crew can row 6000 yards up stream in the same time it takes them to cover 8000 yards downstream. If the speed of the current is 80 yards per minute find the speed the crew can r

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Question 761976: A crew can row 6000 yards up stream in the same time it takes them to cover 8000 yards downstream. If the speed of the current is 80 yards per minute find the speed the crew can row in still water.
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
the speed the crew can row in still water=x yards per minute say
the speed of the current is 80 yards per minute
the speed in down stream= x+80 & the distance traveled is 8000 yards
so time taken=8000/(x+80)
& in up stream=x-80 & the distance traveled is 6000 yards
so time taken=6000/(x-80)
the crew can row 6000 yards up stream in the same time it takes them to cover 8000 yards downstream.
so 8000/(x+80)=6000/(x-80)
or 4(x-80)=3(x+80)
or 4x-320=3x+240
or x=320+240=560
so the speed the crew can row in still water=560 yards per minute say