- #1
maria vega
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Homework Statement
Esther drove to work in the morning at an average speed of 40 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If Esther spent a total of one hour commuting to and from work how many miles did Esther drive to work in the morning?
Homework Equations
The Attempt at a Solution
40(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 40(p) = 30(q), or divide both sides by 5 and get 8(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 8(60-q) = 6q or 480-9q = 6q. So 480 = 14q, which makes q = 34.2857 If q = 34.2857, then by (p+q)=60, p (the time she took in the morning) must equal 25.714285.
Then (25.714285/60) x 40 = 23.80 miles I think
Am I correct?