SOLUTION: A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work together but C left after 2 days. In how many days will the remaining work be completed by A

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work together but C left after 2 days. In how many days will the remaining work be completed by A       Log On


   



Question 839596: A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work together but C left after 2 days. In how many days will the remaining work be completed by A & B?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2/10+2/9+2/15+x/10+x/9=1
(19x)/90+5/9 = 1
(19 x)/90=4/9
(19 x)/10=4
19x=40
x = 40/19
x = 2.1053 days more to finish
BTW they would have finished in 3.6 days total with all three .