Question

It took Brian 3 hours to drive to a rock concert. On the way home, he was able to increase his average speed by 23 mph and make thereturn drive in only 2 hours. Find his average speed on the return drive.Step 1 of 3: Complete the following table by entering the missing values, using x to represent the unknown quantity.

Answer 1

Given:

Original Drive

Rate of x mph

Time of 3 hours.

Return Drive

Rate of x + 23 mph (from the phrase ...increase his average by 23mph...)

Time of 2 hours

Given formula of Rate × Time = Distance

$\begin{gathered} \text{Rate}\times\text{Time}=\text{Distance} \\ \text{First equation} \\ x\cdot3=\text{Distance} \\ 3x=\text{Distance} \\ \\ \text{Second equation} \\ (x+23)\cdot2=\text{Distance} \\ 2x+46=\text{Distance} \end{gathered}$