homework help

Question

amy walked from her house to her school at the rate of 2 miles per hour and returned on a bicycle riding at a rate of 8 miles per hour. If the round trip took a total of 1 1/2 hours, how many miles is the school from her house,.

Answer 1

Distance = rate * time

The time to go to school is 'x', so the time needed to come back home is 1.5 - x

Distance to school = 2 * x

Distance back to home = 8 * (1.5 - x)

The distance to school is the same distance back to home, so...

2x = 8(1.5 - x)

2x = 12 - 8x

Add 8x to each side.

10x = 12

Divide by 10

x = 1.2 miles

 

Hope this makes sense, Patryk.

Mary Ann