SOLUTION: a boat trip trip 10 miles down a river takes you 1 hour and 15 minutes but it takes 4 hours to return.... whats the speed of the boat in still water and the speed of the current
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Question 589266: a boat trip trip 10 miles down a river takes you 1 hour and 15 minutes but it takes 4 hours to return.... whats the speed of the boat in still water and the speed of the current
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use distance equals rate times time, from which you can derive rate equals distance divided by time.
To go downstream it takes 1.25 (1 hour 15 minutes is 1 and 1 quarter hour) hours to go 10 miles. 10 divided by 1.25 is 8, so the rate of the boat in still water PLUS the rate of the current is 8 miles per hour.
To go upstream it takes 4 hours to go 10 miles. 10 divided by 4 is 2.5, so the rate of the boat in still water MINUS the rate of the current is 2.5 miles per hour.
Set up your 2X2 system of equations:
Use the elimination method to solve for )
John
My calculator said it, I believe it, that settles it
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