Posted by majumder on Thursday, April 26, 2012 at 10:20am.
A does 8/15 of a work in 8 days and the remaining work is finished with the assistance of B in 4 days . how long will B take to do the work alone

math  Reiny, Thursday, April 26, 2012 at 11:36am
A's rate = (8/15)W / 8 = W/15
let B's rate = W/x , where x is the time it would take B to do the job
combined rate = W/15+W/x = (Wx + 15W)/(15x)
then 4(Wx + 15W)/(15x) = (7/15)W
divide by W and expand
(4x + 60)/(15x) = 7/15
times 15
(4x+60)/x = 7
multiply by x
4x + 60 = 7x
x = 20
it would take B 20 days
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