Michelle rode her bicycle from her house to her school at an average speed of 8 miles per hour (mph). Later that day, she rode from school back home along the same route, at an average speed of 12 mph. If the round trip took her 1 hour, how many miles long is the round trip.

Her average speed is 10 miles per hour. (8 + 12 = 20 / 2 = 10 mph)

Since her round trip is 1 hour, what do you think the distance of the round trip is?

9.8

*9.6

yeah, its 9.6

To find the length of the round trip, we can use the formula:

Distance = Speed × Time

Let's assume the distance from Michelle's house to school is "x" miles.

Michelle rode from her house to school at an average speed of 8 mph, so the time taken for this part of the trip is:
Time1 = Distance / Speed = x / 8

Michelle rode from school back home at an average speed of 12 mph, so the time taken for this part of the trip is:
Time2 = Distance / Speed = x / 12

According to the given information, the round trip took her 1 hour. Therefore, the total time taken for the round trip is:
Total Time = Time1 + Time2 = x / 8 + x / 12

Since the total time is 1 hour, we can write the equation:
x / 8 + x / 12 = 1

To solve for x, we need to get a common denominator of 24:
(3x + 2x) / 24 = 1
5x / 24 = 1

To remove the fraction, we multiply both sides of the equation by 24:
5x = 24

Now, we can solve for x by dividing both sides of the equation by 5:
x = 24 / 5

Therefore, the length of the round trip is:
x = 4.8 miles