Asked by Anonymous
Sumi can wash the windows of an office building in 3/4 the time it takes her apprentice. One day they worked on the building together for 2h 16min , then Sumi continued to work alone. It took 4h 32min more to complete the job. How long would it take her apprentice to wash all the windows?
Answers
Answered by
Steve
2h16' = 34/15 hours
4h32' = 68/15 hours
Suppose it takes t hours to do the job working together. If the apprentice takes x hours, then it takes Sumi 3/4 x hours. So, we know that
1/t = 1/x + 1/(3/4 x)
Also, we are told that
(34/15)(1/t) + (68/15)(1/(3/4 x)) = 1
solving those equations together, we get
x = 34/3 = 11h20'
4h32' = 68/15 hours
Suppose it takes t hours to do the job working together. If the apprentice takes x hours, then it takes Sumi 3/4 x hours. So, we know that
1/t = 1/x + 1/(3/4 x)
Also, we are told that
(34/15)(1/t) + (68/15)(1/(3/4 x)) = 1
solving those equations together, we get
x = 34/3 = 11h20'
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