Question

a delivery man for ups is delivering a package to a hospital that is 100 miles away. halfway to the hospital he has averaged a constant velocity of 74 miles/hour. how fast must he drive the rest of the way to average a constant velocity of 100miles/hour for the entire trip?

Answer 1

The delivery man must drive the remaining 50 miles in 30 minutes to average a velocity of 100 miles/hour for the entire trip.

Step-by-step explanation:

In order to average a constant velocity of 100 miles/hour for the entire trip, the delivery man must drive the rest of the way at a faster speed than his initial average speed of 74 miles/hour. To determine how fast he must drive, we can use the formula:

Average Velocity = Total Distance / Total Time

Since the total distance is 100 miles and the time taken to travel the first half is half of the total time, we can set up the equation:

100 miles/hour = 100 miles / (Total Time/2)

Solving for Total Time, we find that the total time for the entire trip is 1 hour. Since the delivery man has already taken half an hour to travel the first half, he must travel the remaining 50 miles in 0.5 hours (30 minutes) in order to average a constant velocity of 100 miles/hour for the entire trip.