SOLUTION: Hi pearl walks from home to schoolat an average speed of 6km per hour, and jogs home at an average speed of 12km per hour. If her whole trip takes an hour, how far is it from home

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Question 1054352: Hi
pearl walks from home to schoolat an average speed of 6km per hour, and jogs home at an average speed of 12km per hour. If her whole trip takes an hour, how far is it from home to school.
thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
pearl walks from home to school at an average speed of 6km per hour, and jogs home at an average speed of 12km per hour. If her whole trip takes an hour, how far is it from home to school.
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To school DATA:
rate = 6 km/h ; time = t hrs ; distance = r*t = 6t km
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To home DATA:
rate = 12 km/h ; time = (1-t)hrs ; distance = 12(1-t) = 12-12t km
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Equation:
dist = dist
6t = 12-12t
18t = 12
t = 2/3 hrs
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Ans: distance = 6t = 6(2/3) = 4 km
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Cheers,
Stan H.