Question

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream.She rows downstream miles/hour faster than she row upstream.Find Alicia's rowing rate each way.Round your answers to the nearest tenth if necessary.

A.4 mi/hr downstream, 2.7 mi/h upstream
B.20 mi/hr downstream, 13.3 mi/hr upstream
C.2.7 mi/hr downstream, 4 mi/hr upstream
D.9 mi/hr downstream, 6 mi/hr upstream

Answer 1

Option D. 9 mi/hr downstream, 6 mi/hr upstream

Explanation:

The complete question is

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia’s rowing rate each way

Define the variables

Let

x -----> Alicia's rowing rate downstream in miles per hour

y ----> Alicia's rowing rate upstream in miles per hour

we know that

The rate is equal to the distance divided by the time

so

The time is equal to the distance divided by the rate

we have

`(6)/(x)=(4)/(y)`

`4x=6y`

`x=1.5y` -----> equation A

`x=y+3` ----> equation B

equate equation A and equation B

`1.5y=y+3`

`1.5y-y=3`

`0.5y=3`

`y=6`

Find the value of x

`x=1.5(6)=9`

therefore

Alicia's rowing rate downstream is 9 mi/h

Alicia's rowing rate upstream is 6 mi/h