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X can do a work in 3 days Y does three...

This question belongs to Arithmetic Ability Time And Work
Time and Work
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X can do a work in 3 days, Y does three times the same work in 8 days, and Z does five times the same work in 12 days. If they have to work together for 6 hours in a day, then in how much time can they complete the work?

Answer & Solution
Correct Answer: Option B
Time and Work mcq question image
$$\eqalign{ & {\text{So, required answer}} \cr & = \left( {\frac{{24}}{{8 + 9 + 10}}} \right) \times 6{\text{ hr/day}} \cr & = \frac{{48}}{9} \cr & = \frac{{16}}{3} \cr & = 5{\text{ hr }}20\,\min \cr} $$
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