Rachel ran from her house to school at an average speed of 6 miles per hour and returned along the same route at an average speed of 4 miles per hour. if the total time it took her to run to the school and back was one hour, how far is it from rachel’s house to school?

2.4 miles

Step-by-step explanation:

Let the distance from Rachel's school to her home be m miles.

She ran from her house to school at an average speed of 6 miles per hour. Let the time she took to go from house to school is

Since,

Distance = Speed  x Time

m = 6

or

= miles

Rachel returned to her house with an average speed of 4 miles per hour. Let the time she took from school to house is . Using the same formula again, we get:

m = 4

or

= miles

Since, the total time she tool to run to and back from the school is 1 hour, we an write:

Total time =

Since, m represents the distance from Rachel's school to her house, we can conclude that Rachel's school is 2.4 miles far from her house.

i believe the correct answer is b.