Roy, the rock star, leaves Cincinnati after his big show finishes at 2 am. His tour bus driver drives 260 miles to Knoxville at an average rate of speed of 65 miles per hour. They stop there for an hour for a morning snack, and then travel on to Nashville to setup for a show that night. If they average 70 miles an hour on the 175 trip from Knoxville to Nashville, what time will they arrive to setup for the next night's show? (D = R x T).

The time Roy will arrive Nashville for set up is 9:30 am

Step-by-step explanation:

To get their arrival time in Nashville, we will have to add the time spent on the road to the time the journey started.

Time journey started = 2:00 am

Time spent from Cincinnati to Knoxville = distance / speed

= 260 / 65 = 4 hours.

Time spent during breakfast = 1 hour

Time spent travelling from Knoxville to Nashville = 175 / 70 = 2 hrs : 30 minutes

Hence, total time spent on the road = 4 + 1 + 2.5 = 7.5 hours.

Therefore the time Roy will arrive Nashville for set up is 9:30 am