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Aman and Raman together complete a piece of work in 30 days, Raman and Manan can complete the same work in 36 days and Manan and Aman can complete the same work in 45 days.All of the three working together can complete the work in how many days?

Aman and Raman together complete a piece of work in 30 days, Raman and Manan can complete the same work in 36 days and Manan and Aman can complete the same work in 45 days.All of the three working together can complete the work in how many days? Correct Answer 24

Aman and Raman’s one day work = 1/30

Raman and Manan’s one day work = 1/36

Manan and Aman’s one day work = 1/45

Total work done in one day is : 2(Aman + Raman + Manan) = 1/30 + 1/36 + 1/45

(Aman + Raman + Manan) one day work = ½ = ½ (45/540) = 1/24

∴ Working together they can complete the work in 1/(1/24) days = 24 days

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