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 7 hours later. She walks at a constant rate of 36/5 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+7)\textrm{ },\textrm{ }y=\frac{36}{5} \times x\end{equation}

2.

Antonio is riding on a train. He gets up from his seat and walks forward. As he walks, he travels 23/5 miles in 2 minutes. As he walks back to his seat, he travels 13/3 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{23}{5}\textrm{ },\textrm{ }\frac{2}{60} \times (x-y)=\frac{13}{3}\end{equation}

3.

Alan has challenged Sam to a duel with water pistols at 50 feet. They start walking in opposite directions. Alan walks at 10 feet per second. Sam runs at 15 feet per second. How long will it take them to be 50 feet apart?

\begin{equation}(10+15)x=50\end{equation}