[tex]t=\frac{d}{v}[/tex]
t - time, d - distance, v - speed
Let x be Jaime's normal rowing speed.
The wind adds 2 miles per hour to her speed when she is rowing with the wind - so her speed is x+2, and she can row 60 miles at that speed in time t.
[tex]t=\frac{60}{x+2}[/tex]
The wind subtracts 2 miles per hour from her speed when she is rowing against the wind - so her speed is x-2, and she can row 48 miles at that speed in the same time t.
[tex]t=\frac{48}{x-2}[/tex]
Set the expressions for t equal to each other:
[tex]\frac{60}{x+2}=\frac{48}{x-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{cross multiply} \\
60(x-2)=48(x+2) \ \ \ \ |\div 12 \\
5(x-2)=4(x+2) \\
5x-10=4x+8 \\
5x-4x=8+10 \\
x=18
[/tex]
Jaime's normal rowing speed is 18 miles per hour.
