Question

If 12 workers can build a wall in 36 hours, how many workers will be required to do the same work in 72 hours?
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Answer 1

Given:

12 workers can build a wall in 36 hours.

To find:

How many workers will be required to do the same work in 72 hours?

Calculation:

For completing work in 36 hours are needed by 12 workers.

So, 12 workers can complete 1/36 part in 1 hour.

So, 1 worker can complete 1/12 × 1/36 = 1/432 part in 1 hour.

So, amount of work done by 1 worker in 72 hours

$= 72 \times \dfrac{1}{432} \\ = \dfrac{1}{6} \: part$

So, required number of worker to complete the whole work in 72 hours :

$= \dfrac{1}{ (\frac{1}{6} )} = 6 \: workers$

So, 6 workers are required to do the same work in 72 hours.

Answer 2

SOLUTION

GIVEN

12 workers can build a wall in 36 hours

TO DETERMINE

The number of workers will be required to do the same work in 72 hours

EVALUATION

SOLVE USING RULES OF THREE

The given data can be rewritten as below

$\sf{ \:\: \: \: \: \: \: \: Time (Hours) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:Workers }$

$\sf{ \:\: \: \: \: \: \: \: \: \: \: \: \: 36 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 }$

$\sf{ \:\: \: \: \: \: \: \: \: \: \: \: \: 72 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:? }$

As the time increases the number of workers will be decreased

Here the Time and Workers are in inverse proportion

Hence the required number of workers

$\displaystyle \sf{ = 12 \times \frac{36}{72} }$

$\displaystyle \sf{ = 12 \times \frac{1}{2} }$

$= 6$

FINAL ANSWER

Hence the number of workers will be required to do the same work in 72 hours is 6

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