Question

1. the houck family and roberts family took trains for their family vacations, traveling at constant rates. the houck familys train traveled 552 miles in 6 hours and the roberts familys train traveled 744 miles in 8 hours. which familys train is traveling at a faster rate? how much faster?

Explanation:

Step1: Calculate Houck's train speed

Speed = $\frac{\text{Distance}}{\text{Time}} = \frac{552}{6} = 92$ miles per hour

Step2: Calculate Roberts's train speed

Speed = $\frac{\text{Distance}}{\text{Time}} = \frac{744}{8} = 93$ miles per hour

Step3: Compare speeds and find difference

Subtract Houck's speed from Roberts's speed: $93 - 92 = 1$ mile per hour

Answer:

The Roberts family's train is traveling faster, by 1 mile per hour.