Question

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If 14 typists typing 6 hours a day can take 12 days to complete the manuscript of a book , then how many days will 4 typists , working 7 hours a day , can take to do the same job ?



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Answer 1

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36

Step-by-step explanation:

Given that 14 Typists = 6 hours 12 days

4 Typists = 7 hours x days

It will take 36 days to complete the same job.

Answer 2

ANSWER:

Given:

• 14 typists type 6hrs a day and take 12 days to complete a work.

To Find:

• No. of days will 4 typists, working 7 hours a day take to complete the same work.

Solution:

$\text{We are given that}\\\\:\implies\text{14 typists \xrightarrow{Working} 6 hours \xrightarrow{Take} 12 days}\\\\\text{Total Work Done:}\\\\:\implies14\times6\times12- - - -(1)\\\\\text{Let the days required in the other case be x. So,}\\\\:\implies\text{4 typists \xrightarrow{Working} 7 hours \xrightarrow{Take} x days}\\\\\text{Hence, Total Work Done:}\\\\:\implies4\times7\times x- - - -(2)\\\\\text{We know that, the Work Done is same. Hence,}\\\\\text{From (1) and (2),}$

$\\\\:\implies4\times7\times x=14\times6\times12\\\\\text{Transposing 4 \times 7 to RHS,}\\\\:\implies x=\dfrac{14\!\!\!\!/^{\:\,2}\times6\times12\!\!\!\!/^{\:\,3}}{4\!\!\!/\times7\!\!\!/}\\\\:\implies x=2\times6\times3\\\\\bf{:\implies x=36}\\\\\text{\bf{Hence, the days required to complete the work is 36 days.}}$