An automobile party leaves at 7:55 A.M., and arrives at its destination 15 miles away at 8:15 A.M. What was the average rate on this trip (in M.P.H.)?

time= 20 min=1/3 hr

speed=15/time

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To calculate the average rate of this trip in miles per hour (MPH), we need to first determine the total travel time and then divide the distance by the travel time.

In this case, the departure time is 7:55 A.M. and the arrival time is 8:15 A.M. We can calculate the travel time by subtracting the departure time from the arrival time.

Travel time = Arrival time - Departure time

First, let's convert the departure and arrival times into a common format, such as minutes:

Departure time = 7:55 A.M.
Arrival time = 8:15 A.M.

Convert departure time to minutes:
7 hours * 60 minutes/hour = 420 minutes
55 minutes + 420 minutes = 475 minutes

Convert arrival time to minutes:
8 hours * 60 minutes/hour = 480 minutes
15 minutes + 480 minutes = 495 minutes

Now, calculate the travel time:
Travel time = 495 minutes - 475 minutes = 20 minutes

Next, we divide the distance by the travel time to get the average rate in miles per minute:
Average rate = Distance / Travel time

Given that the distance is 15 miles and the travel time is 20 minutes:
Average rate = 15 miles / 20 minutes = 0.75 miles per minute

Finally, we convert the average rate from miles per minute to miles per hour.
To do this, we need to multiply the average rate by 60 (since there are 60 minutes in an hour) to get the average rate in miles per hour:

Average rate (M.P.H.) = 0.75 miles per minute * 60 minutes/hour = 45 miles per hour

Therefore, the average rate of this trip is 45 M.P.H.