Question

jacob and his parents are going to visit mitford university, which is 455 miles from where they live. they plan to drive for 4 hours on the first day, then stop at a hotel for the night and complete the trip on the second day. they expect their average speed will be 65 miles per hour. how many hours will they drive on the second day? write your answer as a whole number or a decimal. hours

Explanation:

Step1: Calculate distance driven on first day

We use the formula $d = vt$ (distance = speed×time). Given speed $v = 65$ miles per hour and time $t = 4$ hours. So, $d_1=65\times4 = 260$ miles.

Step2: Calculate remaining distance

The total distance $D = 455$ miles. The remaining distance $d_2=D - d_1$. So, $d_2=455 - 260=195$ miles.

Step3: Calculate time for second - day drive

Again using the formula $t=\frac{d}{v}$, with $d = d_2 = 195$ miles and $v = 65$ miles per hour. So, $t_2=\frac{195}{65}=3$ hours.

Answer:

3