## Note on Time and Work

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The unitary method is a method or technique in an algebra for solving a class of problems in variation.Time and work are also related to the unitary method. Here, we calculate the part of a work in unit time and also calculate the time taken to do a work.

• Work from Days:
If A can do a piece of work in n days, then A's 1 day's work =$$\frac{1}{n}$$

• Days from Work:
If A's 1 day's work = $$\frac{1}{n}$$,then A can finish the work in n days.

• Ratio:
If A is thrice as good workman as B, then:
The ratio of work done by A and B = 3: 1.
The ratio of times taken by A and B to finish a work = 1: 3.

• No. of days = total work / work done in 1 day

• Relationship between Men and Work
More men —can do → More work
Less men —can do →Less work

• Relationship between Work and Time
More work —takes →More Time
Less work —takes →Less Time

• Relationship between Men and Time
More men —can do in →Less Time
Less men —can do in →More Time

• A complete work is considered as 1.
• Work done by A in unit time added to the work done by B in unit time, gives the time work done by A and B together in unit time.
• The work done by A in unit time is subtracted from the work done by A and B together works in unit time gives the work done by B in unit time.
• Total work is done in different steps is always 1.
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• ## You scored /15

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