



 
Hi Christie, I am going to use the fact that rate is distance over time, in your case miles over hours. Suppose Claudia rides at a rate of $x$ miles per hour then, since Sam rides at 3 miles per hour faster that Claudia, Sam rides at $x + 3$ miles per hour. Suppose Sam takes $t$ hours to ride the 150 miles then, since Claudia takes 8 1/3 longer than Sam, Claudia rides the 150 miles in $t + 8 1/3$ hours. Now use $\mbox{rate} = \large \frac{\mbox{distance}}{\mbox{time}}.$ For Sam this gives \[x+3 = \frac{150}{t}.\] What is the equation for Claudia? Solve the equations for $x.$ Penny 



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