X and y together can complete a work in 27 days y and z in 36 days z and x in 54 days. In how many days will all of them together complete the work
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Answer:
X and Y completes the work in = 27 days
Y and Z completes the work in = 36 days
Z and X completes the work in = 54 days
So,
Work done by X & Y in 1 day = 1/27
Work done by Y & Z in 1 day = 1/36
Work done by Z & X in 1 day = 1/54
∴ Work done by X, Y & Z together in 1 day
= ½ * [1/27 + 1/36 + 1/54]
= ½ * [(4+3+2)/108]
= ½ * [9/108]
= ½ * 1/12
= 1/24
Thus, X, Y & Z together will complete the work in 24 days.
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