SOLUTION: The distance between joe's house nd the supermarket is X km .He drive from his house to the supermarket at an average speed of Y km/h .from the supermarket Joe return to his house

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Question 1083024: The distance between joe's house nd the supermarket is X km .He drive from his house to the supermarket at an average speed of Y km/h .from the supermarket Joe return to his house, along the same route, at an average speed that is one and a half times faster than the original average speed of Y km/h. Calculate the overall average speed at which Joe drove from his house to the supermarket nd back.leave ur answer in terms of Y.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The distance between joe's house nd the supermarket is X km .
He drive from his house to the supermarket at an average speed of Y km/h .
from the supermarket Joe return to his house, along the same route, at an average speed that is one and a half times faster than the original average speed of Y km/h.
Calculate the overall average speed at which Joe drove from his house to the supermarket nd back.leave ur answer in terms of Y.
:
let a = average speed for the round trip
write a time equation; time = dist/speed
x%2Fy + x%2F%281.5y%29 = %282x%29%2Fa
multiply by 3ay, clear the denominators
3ax + 2ax = 3y(2x)
5ax = 6xy
divide both sides by x
5a = 6y
a = 6%2F5y is the average speed for the round trip