Time & work

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QUANTITATIVE - WORKMDW FORMULA If M1 persons can do W1 works in D1 days and M2 persons can do W2 work in D2 days, then we have M1D1W2 = M2D2W1

If we include the working hours say T1 and T2 for the two groups, then the relationship is M1D1 T1 W2 = M2D2 T2W1

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MEN, WORK, TIME

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MEN, WORK AND TIME

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MEN, WORK,TIME

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MEN, WORK AND TIME

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MEN,WORK, TIMEA, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days? a) 7 days b) 8 days c) 9 days d) 10 days.(A + B)s 1 days work =

(A + C)s 1 days work =

Work done in 2 days =

Therefore, Whole work will be done in 4 x 2 = 8 days.

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MEN,WORK, TIME If A is thrice as good a workman as B, then Ratio of work done by A and B = 3:1 and Ratio of time taken by A and B to finish a work = 1:3

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MEN,WORK, TIME If A,B and C together can finish a piece of work in 4 days; A alone can do it in 12 days and B in 18 days then C alone can do it in a)21days b)16days c)14days d)9 days

(A + B + C)s 1 days work =

(A + B)s 1 days work = .

Cs 1 days work = .

C alone can finish the work in 9 days.

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A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?A. 8 hoursB. 10 hoursC. 12 hoursD. 24 hours02

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XVIIIAlternate days

P can complete a piece of work, working alone in 3 days. Q can complete the work working alone in 5 days. If they work on alternative days, the work would be completed in the1)Least number of days if P starts the work.2)Least number of days if Q starts the work.3)In the same time irrespective of who starts the work.4) None of these.Alternate daysXIX

Alternate daysXIX

Alternate days00

A and B working together can complete a piece of work in 10 days. B and C working together can complete the work in 15 days. Who is the slowest of the three worker?1) A 2)B 3)C 4) Cannot be determinedTime taken when B work with A is less than when B work with C. Hence A takes less time than C.A can finish the work by working together earlier than time taken by C working together.Hence C is the slowest of the three workers.Slowest?XX

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