A' and ' B ' can do a piece of work in 25 days and 30 days
respectively. Both start the work together but ' A' leaves
the work 8 days before its completion. Find the time in
which the work is finished.

Question

A' and  ' B ' can do a piece of work in 25 days and 30 days 
respectively. Both start the work together but  ' A' leaves 
the work 8 days before its completion. Find the time in 
which the work is finished.

shubhamsrg · Answer

whats your attempt(progress) ?

anonymous · Answer

1/25+1/30=a+b 's one days work
(1-11/150)=(x-8)

shubhamsrg · Answer

A does 1/25 of the work in 1 day
B does 1/30 of the work in 1 day

together, in 1 day they do 1/25 + 1/30 of the work

Let they both work together for x days

then, they'll do

x/25  + x/30 of the job
after that, B does rest of the job alone for next 8 days => 8/30 of the work

hence

x/25 + x/30 = 1 -(8/30) = 22/30

solve for "x+8" .
Hope it helps?

anonymous · Answer

10 days.