Algebra-1 Problems

8.6 Motion Problems


Problem #

Problem Statement

Problems Similar To

1.

Bud takes a leisurely stroll. He walks at a constant rate of 3 miles per hour. Carrie starts out for a brisk walk 2 hours later. She walks at a constant rate of 6 miles per hour. How long will it take for Carrie to catch up with Bud and how far will she have walked by then?

\begin{equation}y=3(x+2)\textrm{ },\textrm{ }y=6x\end{equation}

2.

Antonio is riding on a train. He gets up from his seat and walks forward. As he walks, he travels 131/30 miles in 2 minutes. As he walks back to his seat, he travels 25/6 miles in 2 minutes. How fast was the train moving, and how fast did Antonio walk inside the train (both in miles per hour)?

\begin{equation}\frac{2}{60} \times (x+y)=\frac{131}{30}\textrm{ },\textrm{ }\frac{2}{60} \times (x-y)=\frac{25}{6}\end{equation}

3.

Alan has challenged Sam to a duel with water pistols at 184 feet. They start walking in opposite directions. Alan walks at 5 feet per second. Sam runs at 18 feet per second. How long will it take them to be 184 feet apart?

\begin{equation}(5+18)x=184\end{equation}