Question

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. Round your
answers to the nearest tenth, if necessary.
a. 4 mi/h downstream, 2.7 mi/h upstream
b. 20 mi/h downstream, 13.3 mi/h upstream
c. 2.7 mi/h downstream, 4 mi/h upstream
d. 9 mi/h downstream, 6 mi/h upstream

Answer 1

Answer: d. 9 mi/h downstream, 6 mi/h upstream

Explanation:

Hi, the correct answer is option d.d. 9 mi/h downstream, 6 mi/h upstream.

We have to analyze the information given:

"She rows downstream 3 miles/hour faster than she rows upstream."

So, with this information we have to choose the option that has the difference of 3 miles perhour between the downstream speed and the upstream speed.

9mi/h-6mi/h = 3mi/h

Or, we can calculate it :

x= upstream rowing rate

6/ (x+3) = 4/x

6x = 4 (x+3)

6x =4x+12

6x-4x= 12

2x =12

x=12/2

• x=6mi/h =upstream rowing rate.

by adding 3mi/h, we obtain the downstream rowing rate:

• 6mi/h + 3mi/h = 9mi/h downstream rowing rate.