Question

toris family is leaving for a camping trip in the morning. marshall meadows, where they will camp, is 325 miles away. toris parents plan to drive for 3 hours in the morning, then stop for lunch. they will complete the trip in the afternoon. they expect their average speed will be 50 miles per hour. how many hours will they drive in the afternoon? write your answer as a whole number or a decimal. hours

Explanation:

Step1: Calculate morning - drive distance

The speed in the morning is 50 miles per hour and they drive for 3 hours. Using the formula $d = s\times t$ (where $d$ is distance, $s$ is speed, and $t$ is time), the distance driven in the morning is $50\times3=150$ miles.

Step2: Calculate afternoon - drive distance

The total distance is 325 miles. So the distance to be driven in the afternoon is $325 - 150=175$ miles.

Step3: Calculate afternoon - drive time

Since the speed in the afternoon is also 50 miles per hour, using the formula $t=\frac{d}{s}$, the time $t$ for the afternoon - drive is $\frac{175}{50}=3.5$ hours.

Answer:

3.5