chads family is renting a cabin at greenbow state park, which is 390 miles from where they live. they plan…

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

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