SOLUTION: Karen jogged at an average rate of 8 mph from her house to school. She walked home at a rate of 4 mph. If the entire trip took 3 hours, how far is it from her home to school?

Question 928430: Karen jogged at an average rate of 8 mph from her house to school. She walked home at a rate of 4 mph. If the entire trip took 3 hours, how far is it from her home to school?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = d/t
t = d/s
d = distance from home to school (miles)
---
time to school:
a = d/8
---
time to home:
b = d/4
---
total time:
a + b = 3
d/8 + d/4 = 3
4d/4*8 + 8d/4*8 = 3
4d + 8d = 3*4*8
12d = 3*4*8
d = 3*4*8/12
d = 8
---
d = distance from home to school (miles) = 8
---
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