Question

Matt and Chris leave their uncle’s house in Phoenix at the same time. Matt drives west on I-60 at a speed of $76$miles per hour. Chris drives east on I-60 at a speed of $82$miles per hour. How many hours will it take them to be $632$miles apart?

Short answer

It will take them$4hours$to be$632miles$apart.

Step-by-step solution

Step 1. Given Information.

Speed of Matt towards West$=76miles/hr$.

Speed of Chris towards East$=82miles/hr$.

Step 2. Solving the equations.

Let the required time be $thours$.

We know, $Dis\tan ce=Speed\times Time$.

Distance traveled by Matt$=76tmiles$.

Distance traveled by Chris$=82tmiles$.

Therefore,

$$\begin{gathered} 76t+82t=632 \\ 158t=632 \\ t=4 \end{gathered}$$

It will take them$4hours$to be$632miles$apart.