Do the one you would like please show work

6) According to the time and work concept, 18 hours would be taken for James to complete the work.

Knowing the formulas can immediately lead you to a solution upon reading the question. Therefore, knowing the formula for any topic in numerical ability simplifies the solution and associated calculations.

Here are a few of these essential time and work formulas for your reference.

Work Performed = Time Required Rate of Work

Work Rate = 1 / Time Taken

Duration = 1 / Rate of Work

If a piece of work is completed in x number of days, then the amount of work completed in one day is equal to 1/x. Total Work Completed = Number of Days Efficiency.

Time and Productivity are inversely proportional to one another X:

if y is the ratio of the number of men needed to complete a piece of work, then y:x is the ratio of the time required by those men to complete the work.

If x number of people can complete W1 work in D1 days while working T1 hours per day, and y number of people can complete W2 work in D2 days while working T2 hours per day, then the relationship between them is Time and Work Formula i..e;

[tex]\frac{M1.D1.T1}{W1} =\frac{M2.D2.T2}{W2}[/tex]

Monica can do the work in 9 hours so she does a work of 1/9 in an hour.

The same work done by Monica and James takes 6 hours so they both can do a 1/6 th of work in an hour.

Developing the relation:

[tex]\frac{1}{9}+\frac{1}{x}=\frac{1}{6}[/tex]

here, the speed of Monica is 1/9 and the speed of James in completing the work is 1/x and the speed of them both is 1/6

So solving this equation we get ,

[tex]6x+54 = 9x[/tex]

[tex]3x = 54\\x=18\\[/tex]

So the speed of James in completing the work is 1/18th in an hour So he takes 18 hours to complete the whole work by himself alone.

According to the time and work concept, 18 hours would be taken for James to complete the work.

To know more about Time and work problems, visit:

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