Solve the problem.
-Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 68 miles in the same time that Dana travels 58 miles. If Chuck's rate of travel is $5 \mathrm{mph}$ more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
A) $34 \mathrm{mph}$
B) $37 \mathrm{mph}$
C) $31 \mathrm{mph}$
D) $29 \mathrm{mph}$

Question

Quizplus · Accepted Answer

Let Dana's speed be $x \mathrm{mph}$. Then Chuck's speed is $x + 5 \mathrm{mph}$. Since they travel the same time, $\frac{68}{x+5} = \frac{58}{x}$. Solving for $x$, we get $x = 29$. Therefore, Chuck's speed is $29 + 5 = 34 \mathrm{mph}$.

Solve the Problem 5mph5 \mathrm{mph}5mph More Than Dana's, and They Travel the Same Length of Chicago

Solve the Problem $5 \mathrm{mph}$ More Than Dana's, and They Travel the Same Length of Chicago