Question

Thirty-two men can complete a job in 10 days. How many more men will be needed if the job is to be completed in 8 days?

Answer 1

Answer:

Amount of work 22 men can do in 1 day =

17

1

So, Amount of work 22 men can do in 2 day =

17

2

Fraction of work left =

17=

12

17

15

That is, 1 work done =22×17

So,

17

15

work done =22×17×

17

15

Men required to complete the work in another 10 days.

So, as per question, we have

22×17×

17

15

=10×x

⇒x=33

So, 11 more men will be required.

Answer 2

Answer:

8 more men will be required if the job is to be completed in 8 days.

Step-by-step explanation:

Assumption,

Let the number of men required to complete the work in 8 days be x.

Given that,

32 men can complete a job in 10 days.

To find,

How many more men will be needed if the job is to be completed in 8 days?

Calculation,

Let the amount of work needed to be completed be y.

Now, 32 men × 10 days × y = 8 days × x × y

⇒ 32 × 10 = 8x

⇒ x = 40

Therefore, 8 more men will be required if the job is to be completed in 8 days.

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