chads family is renting a cabin at greenbow s...
chads family is renting a cabin at greenbow state park, which is 390 miles from where they live. they plan to leave early in the morning on saturday and stop after 4 hours to have lunch. they will complete the trip in the afternoon. they plan to drive at an average speed of 60 miles per hour. how many hours will they drive in the afternoon? write your answer as a whole number or a decimal. hours
Answer
# Explanation:
## Step1: Calculate morning - distance
They drive at 60 miles per hour for 4 hours in the morning. Using the formula $d = vt$ (distance = speed×time), the distance $d_1$ they drive in the morning is $d_1=60\times4 = 240$ miles.
## Step2: Calculate afternoon - distance
The total distance is 390 miles. Let the afternoon - distance be $d_2$. Then $d_2=390 - d_1$. Substituting $d_1 = 240$ miles, we get $d_2=390 - 240=150$ miles.
## Step3: Calculate afternoon - time
Using the formula $t=\frac{d}{v}$, with $d = d_2 = 150$ miles and $v = 60$ miles per hour, the time $t$ they drive in the afternoon is $t=\frac{150}{60}=2.5$ hours.
# Answer:
2.5