gbeltran2739 gbeltran2739

24-10-2022
Mathematics

Answered

mary walked to school at an average speed of 2 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. if her total traveling time was 1 hour, what was the total number of miles in the round trip?

Answer :

tutorconsortium127 tutorconsortium127

14-11-2022

As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile

How to calculate total distance?

We can calculate the total distance traveled by a body with position function s (t) if it moves along a coordinate line without changing direction from t = a to t = b. If the body changes direction during the journey, we must integrate the body's speed |v (t)| to find the total distance traveled.

Therefore,

We know Mary spent only a third of the time coming from school as she did going because she traveled three times as fast coming from school as she did going to school (6 miles per hour versus 2 miles per hour). If x represents the time it took her to get to school, then x/3 represents the time it took her to return.

Knowing that the total trip took 1 hour, we have:

x + x/3 = 1

3x/3 + 1x/3 = 1

4x/3 = 1

x = 3/4

So we know it took Mary 3/4 of an hour to get to school (and 1/4 of an hour to get home).

Remembering that distance = rate × time, Mary's commute to school was (2 miles per hour) × (3/4 of an hour) = 3/2 mile. Furthermore, because she returned via the same route, she must have traveled 3/2 of a mile.

As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile.

To learn more about total distance, refer to:

https://brainly.com/question/28395852

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