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Allison can row a boat 1 miles upstream (against the current) in 24 minutes. She can row the same distance downstream in 13 minutes. Assume that both the rowing speed and the speed of the current are constant. What is the speed of Allison's rowing and what is the speed of the current? Round to the nearest hundredth.

Respuesta :

Answer: The speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.

Step-by-step explanation:

Since we have given that

Let the speed of boat in still water be 'x'.

Let the speed of current be 'y'.

Distance = 1 mile

For Upstream, speed would be

[tex]x-y=\dfrac{1}{24}\times 60=2.5[/tex]

For downstream, speed would be

[tex]x+y=\dfrac{1}{13}\times 60\\\\x+y=4.615[/tex]

By graphing method we get that

x = 3.558 miles/hr

and y = 1.058 miles/hr

Hence, the speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.

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