SOLUTION: one custodian cleans a suite in 4 hours.when a second custodian is asked to join the job only takes only 2 2/3 hours. how long does it take the second worker to do the job alone?

Question 1020998: one custodian cleans a suite in 4 hours.when a second custodian is asked to join the job only takes only 2 2/3 hours. how long does it take the second worker to do the job alone? WHAT I WANT TO KNOW IS WHEN I CONVERT 2 2/3 INTO A IMPROPER FRACTION IT EQUALS 8/3 BUT SOMEHOW IT GETS FLIPPED INTO 3/8 NOT SURE HOW AND WHY THAT HAPPENS THANK YOU FOR YOUR VALUABLE TIME.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
one custodian cleans a suite in 4 hours.
when a second custodian is asked to join the job only takes only 2 2/3 hours.
how long does it take the second worker to do the job alone?
:
let x = time for the 2nd worker to do the job alone
;
The shared work equation when the completed job = 1
+ = 1
multiply equation by 4x. cancel the denominators
+ = 4x
+ = 4x
multiply equation by 3
8x + 32 = 12x
32 = 12x - 8x
32 = 4x
x = 32/4
x = 8 hrs for the the 2nd guy to do it alone
:
:
You invert a fraction when it becomes the divisor, not necessary in this problem

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