SOLUTION: Kelly commutes between her workplace and home everyday on her scooter. On average, it takes her 0.8 hours to commute to work during the morning peak hours and 0.75 hours to reach h

Algebra ->  Length-and-distance -> SOLUTION: Kelly commutes between her workplace and home everyday on her scooter. On average, it takes her 0.8 hours to commute to work during the morning peak hours and 0.75 hours to reach h      Log On


   

Question 1148307: Kelly commutes between her workplace and home everyday on her scooter. On average, it takes her 0.8 hours to commute to work during the morning peak hours and 0.75 hours to reach home in the evening. She travels 5km/h faster in the evening than in the morning. How far is her work place from her home?
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let "d" be one-way distance.


Then from the condition, you have this "speed" equation


    d%2F0.75 - d%2F0.8 = 5  km/h.


Notice that both terms in the left side are the speeds.


To solve the equation, write it in the form


    d%2F%28%283%2F4%29%29 - d%2F%28%284%2F5%29%29 = 5

    %284d%29%2F3 - %285d%29%2F4 = 5


Next multiply both sides by  12


     16d - 15d = 60

       d       = 60.


ANSWER.  One way commute distance is 60 kilometers.

Solved.