A B and C can do a piece of work together in 15 days B alone can do in 30 days and C alone can do it in 40 days in how much time will A alone can do the work
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A B and C can do a piece of work together in 15 days B alone can do in 30 days and C alone can do it in 40 days in how much time will A alone can do the work
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Given :
A, B and C can do a piece of work together in 15 days.
(A + B + C)'s one day work = 1/15
B alone can do it in 30 days
B's one day work = 1/30
C alone can do it in 40 days
C's one day work = 1/40
(B + C)'s one day work = 1/30 + 1/40
= (4 + 3)/120
= 7/120
A's one day work = (A + B + C)'s one day work - ( B + C)'s one day work
= 1/15 - 7/120
= (8 - 7)/120
= 1/120
Hence,
A can do the same work in 120 days.