Algebra-1 Problems

8.6 Motion Problems

Problem #

Problem Statement

Problems Similar To


Bud takes a leisurely stroll. He walks at a constant rate of 4 miles per hour. Carrie starts out for a brisk walk 2 hours later. She walks at a constant rate of 28/5 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=4(x+2)\textrm{ },\textrm{ }y=\frac{28}{5} \times x\end{equation}


Antonio is riding on a train. He gets up from his seat and walks forward. As he walks, he travels 47/15 miles in 2 minutes. As he walks back to his seat, he travels 44/15 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{47}{15}\textrm{ },\textrm{ }\frac{2}{60} \times (x-y)=\frac{44}{15}\end{equation}


Alan has challenged Sam to a duel with water pistols at 75 feet. They start walking in opposite directions. Alan walks at 7 feet per second. Sam runs at 18 feet per second. How long will it take them to be 75 feet apart?