Problema Solution

Alicia can row 4 miles downstream in the same time it takes her to row 2 miles upstream. She rows downstream 5 miles/hour faster than she rows upstream. Find Alicia's rowing rate each way. Round your answers to the nearest tenth.

Answer provided by our tutors

let rate of rowing = x miles/hr.

rate of stream = y miles/hour..

dowmstream = x+y

upstream = x-y

x+y = x-y+5

=> y=5/2

4/(x+y) = 2/(x-y)

=> 2x - 2y = x+y

=> x = 3y

=> x = 15/2 = 7.5

downstream = 10 miles/hr

upstream = 5 miles/hr