10. A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work?
(Please explain with answer)
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Answer:
B can do 1/30 work in one day
C can do 1/40 work in one day
all together can do 1/15 work in one day
let A do 1/x work in one day
(1/x) + (1/30) + (1/40) = (1/15)
1/x = (1/15) - (1/30) -(1/40)
= (8-4-3)/120
= 1/120
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