X can do a piece of work in 8 days, Y can do it in 10 days and Z can do it in 20 days. In how many days can X, Y and Z together complete the work?3 (7/11) days5 days4 (2/5) days6 days
Question
X can do a piece of work in 8 days, Y can do it in 10 days and Z can do it in 20 days. In how many days can X, Y and Z together complete the work?3 (7/11) days5 days4 (2/5) days6 days
Solution
First, we need to find the work done by X, Y, and Z in one day.
X's one day's work = 1/8 Y's one day's work = 1/10 Z's one day's work = 1/20
Adding these together, we get the total work done by X, Y, and Z in one day.
Total one day's work = 1/8 + 1/10 + 1/20 = 5/40 + 4/40 + 2/40 = 11/40
So, together X, Y, and Z can complete the work in 40/11 days.
Therefore, X, Y, and Z together can complete the work in 3 (7/11) days.
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