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X, Y and Z can do a piece of work in 46 days, 92 days and 23 days, respectively, X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning then for how many days did X work?

X, Y and Z can do a piece of work in 46 days, 92 days and 23 days, respectively, X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning then for how many days did X work? Correct Answer 18

Shortcut Trick

The remaining work = 1 - = 1 - (11/46) = 35/46 work

Time is taken by X, Y, and Z to finish the work = (35/46) ÷ (7/92) = (35/46) × (92/7) = 10 days

Total time of work of X = 8 + 10 = 18 days

∴ X work the total of 18 days

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