A and b can do a work in 30 days and band c 24 days and c and a can do in 20 then how many a take to complete the work
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Let total work be 120 units (LCM of 30, 24 and 20).
(A+B)'s one day work = 4 units
(B+C)'s one day work = 5 units
(C+A)'s one day work = 6 units
Adding all three equations and then dividing by 2,
(A+B+C)'s one day work = 7.5 units
A's one day work = 7.5 - 5 = 2.5 units
In 10 days, all three complete 75 units of work. Remaining 45 units can be completed by A in 18 days (at rate of 2.5 units per day).
(A+B)'s one day work = 4 units
(B+C)'s one day work = 5 units
(C+A)'s one day work = 6 units
Adding all three equations and then dividing by 2,
(A+B+C)'s one day work = 7.5 units
A's one day work = 7.5 - 5 = 2.5 units
In 10 days, all three complete 75 units of work. Remaining 45 units can be completed by A in 18 days (at rate of 2.5 units per day).
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