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 57 miles with the wind, she could go only 33 miles against the wind.
What is her normal rowing speed with no wind?

Answer 1

Answer:

15 miles per hour.

Step-by-step explanation:

Let x be her speed with no wind.

speed = distance / time.

With the wind:

x + 4 = 57 / t

t(x + 4) = 57

t = 57 / (x + 4)

Against the wind:

x - 4 = 33 / t

t = 33 / (x - 4)

Eliminating t from the 2 equations in bold we have:

57 / (x + 4)  = 33 / (x - 4)

57(x - 4) = 33(x + 4)

57x - 228 = 33x + 132

24x = 360

x = 360/24

x = 15 miles per hour.