### Algebra-1 Problems

Problem # |
Problem Statement |
Problems Similar To |
---|---|---|

1. |
Bud takes a leisurely stroll. He walks at a constant rate of 4 miles per hour. Carrie starts out for a brisk walk 5 hours later. She walks at a constant rate of 8 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+5)\textrm{ },\textrm{ }y=8x\end{equation} |

2. |
Antonio is riding on a train. He gets up from his seat and walks forward. As he walks, he travels 38/15 miles in 2 minutes. As he walks back to his seat, he travels 7/3 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{38}{15}\textrm{ },\textrm{ }\frac{2}{60} \times (x-y)=\frac{7}{3}\end{equation} |

3. |
Alan has challenged Sam to a duel with water pistols at 210 feet. They start walking in opposite directions. Alan walks at 9 feet per second. Sam runs at 12 feet per second. How long will it take them to be 210 feet apart? |
\begin{equation}(9+12)x=210\end{equation} |