SOLUTION: one person working 1/4 time and one person works 1/3 time what remaining time will the last person have to work in order to make 40hr and it equals 5/12

Algebra ->  Algebra  -> Real-numbers -> SOLUTION: one person working 1/4 time and one person works 1/3 time what remaining time will the last person have to work in order to make 40hr and it equals 5/12      Log On

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Question 482610: one person working 1/4 time and one person works 1/3 time what remaining time will the last person have to work in order to make 40hr and it equals 5/12
Answer by josmiceli(9661) About Me  (Show Source):
You can put this solution on YOUR website!
1/4 time is +%283%2F3%29%2A%281%2F4%29+=+3%2F12+
1/3 time is +%284%2F4%29%2A%281%2F3%29+=+4%2F12+
+3%2F12+%2B+4%2F12+=+7%2F12+
To find the remaining time find:
+1+-+7%2F12+=+5%2F12+
What is this fraction of 40 hrs equal to?
+%285%2F12%29%2A40+=+16.666+ hrs
Note that +.666+ hrs = +%282%2F3%29%2A60+=+40+ min
The last person will have to work 16 hrs and 40 min
to make a total of 40 hrs