Notes on Time and Work | Grade 10 > Compulsory Mathematics > Arithmetic | KULLABS.COM

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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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15 days
8 days
2 days
20 days

13 days

18 days

9 days

20 days

10 days

14 days

16 days

12 days

24 days

26 days

18 days

22 days

12 days

18 days

22 days

20 days

18 days
15 days
23 days
16 days

50 days

40 days

45 days

60 days

18 days

12 days

15 days

9 days

15 days

17 days

21 days

10 days

50,115 days

55,117 days

52,117 days

51,116 days

30 days

45 days

35 days

40 days

8days

5 days

11 days

10 days

4 men

5 men

6 men

3 men

8 days

3 days

5 days

10 days

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