Algebra 2 math word problem Help pls

Question

On a particular day, the wind added 4 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 4 miles per hour from her rate on her return trip. Jaime found that in the same amount of time she could row 44 miles with the wind, she could go only 28 miles against the wind.

What is her normal rowing speed with no wind?

Answer 1

Distance = (Rate)(Time), so time = (distance)/(rate)

 

Let x = rowing speed with no wind

 

Speed with the wind = x+4

 

Speed against the wind = x-4

 

44/(x+4) = 28/(x-4)

 

28(x+4) = 44(x-4)

 

28x + 112 = 44x - 176

 

          16x = 288

 

              x = 18 mph