Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 and walk [math]3\frac{1}{4}[/math] miles to the library. What time do they each arrive?
How fast was each participant walking in miles per hour?
How long did it take each participant to walk one mile?
[size=150]Diego says that [math]d=3t[/math] represents his walk, where [math]d[/math] is the distance walked in miles and [math]t[/math] is the time in hours.[br][br][size=100]Explain why [math]d=3t[/math] relates the distance Diego walked to the time it took.[/size][/size]
Write two equations that relate distance and time: one for Elena and one for Andre.
Use the equations you wrote to predict how far each participant would walk, at their same rate, in 8 hours.
For Diego’s equation and the equations you wrote, which is the dependent variable and which is the independent variable?
[size=150]Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet? [/size]
How long will it take them to meet?
How long will it take a train traveling at 120 miles per hour to go 320 miles?
Explain the connection between these two problems.