Sue walked from her home to her school at a constant rate of 2 miles per hour, picked up her bicycle and rode back at a constant rate of 10 miles per hour. If the round trip took 1.5 hours, how far is the school from Sue's home?

the school is 2.5 miles from Sue's home.

Step-by-step explanation:

Let x represent the distance of the school from Sue's home.

Time = distance/speed

Sue walked from her home to her school at a constant rate of 2 miles per hour. It means that the time it took her to walk to the school is

x/2

She picked up her bicycle and rode back at a constant rate of 10 miles per hour. The distance covered is the same and the time spent in riding back home is

x/10

If the round trip took 1.5 hours, it means that

x/2 + x/10 = 1.5

Multiplying through by 10, it becomes

5x + x = 15

6x = 15

x = 15/6

x = 2.5 miles

answer: 25 is the correct answer

step-by-step explanation:

rick would give her the best deal as he will charge $8.88 per hour