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In the morning, Alan drove 100 miles at a rate of 60 miles per hour. In the afternoon, he drove another 100 miles at a rate of 40 miles per hour. What was his average speed in miles per hour for the entire day?

Answer :

Final answer:

Alan's average speed for the day is 48 miles per hour.

Explanation:

To determine Alan's average rate of speed for the day, we need to use the formula: average speed = total distance/total time. The total distance is 200 miles (100 miles in the morning + 100 miles in the afternoon).

To compute the total time, we divide the distance by speed: time1 = 100 miles / 60 mph = 1.67 hours, and time2 = 100 miles / 40 mph = 2.5 hours. Adding these times together, we get: total time = 1.67 hours + 2.5 hours = 4.17 hours.

Thus, the average speed = total distance / total time = 200 miles / 4.17 hours = 48 mph.

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