Time and Work Formula
1. Work from Days:
If A can do a piece of work in n days, then A's 1 day's work =
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1
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n
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2. Days from Work:
If A's 1 day's work =
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1
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then A can finish the work in n days.
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n
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3. Ratio:
If A is thrice as good a workman as B, then:
Ratio of work done by A and B = 3 : 1.
Ratio of times taken by A and B to finish a work = 1 : 3.
4. No. of days = total work / work done in 1 day
5. Relationship between Men and Work
More men ------- can do -------> More work
Less men ------- can do -------> Less work
6. Relationship between Work and Time
More work -------- takes------> More Time
Less work -------- takes------> Less Time
7. Relationship between Men and Time
More men ------- can do in -------> Less Time
Less men ------- can do in -------> More Time
8. If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2days, then
9. If M1 persons can do W1 work in D1 days for h1 hours and M2 persons can do W2work in D2 days for h2 hours, then
Note: If works are same, then M1D1h1 = M2D2h2
10. If A can do a work in ‘x’ days and B can do the same work in ‘y’ days, then the number of days required to complete the work if A and B work together is
11. If A can do a work in ‘x’ days and A + B can do the same work in ‘y’ days, then the number of days required to complete the work if B works alone is