vijays family is leaving for galactic gardens resort once his parents get home from work on friday. their…

vijays family is leaving for galactic gardens resort once his parents get home from work on friday. their house is 544 miles from the resort. they plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. if their average speed is 64 miles per hour, how long will they drive on the second day? write your answer as a whole number or a decimal. hours

vijays family is leaving for galactic gardens resort once his parents get home from work on friday. their house is 544 miles from the resort. they plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. if their average speed is 64 miles per hour, how long will they drive on the second day? write your answer as a whole number or a decimal. hours

Answer

Explanation:

Step1: Calculate distance driven on first day

We use the formula $d = vt$, where $v = 64$ miles per hour and $t = 3$ hours. So $d_1=64\times3 = 192$ miles.

Step2: Calculate remaining distance

The total distance $D = 544$ miles. The remaining distance $d_2=D - d_1$. So $d_2=544 - 192=352$ miles.

Step3: Calculate time for second - day drive

Using the formula $t=\frac{d}{v}$ again, with $d = d_2 = 352$ miles and $v = 64$ miles per hour. So $t=\frac{352}{64}= 5.5$ hours.

Answer:

5.5