Question

three persons can build a small house in 8 days.To build the same house in 6 days,how many persons are required?
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Answer 1

Answer:

4 persons are required to build the same house in 6 days.

Step-by-step explanation:

It is given that three persons can build a small house in 8 days.

Total work is done is

$W_1=8\times 3=24W </p><p>1</p><p> </p><p> =8×3=24$

Let the same house can build by x person in 6 hours.

Total work is done is

$W_2=6\times x=6xW </p><p>2</p><p> </p><p> =6×x=6x</p><p></p><p>W_1=W_2W </p><p>1</p><p> </p><p> =W </p><p>2</p><p> </p><p> </p><p></p><p>24=6x24=6x</p><p></p><p>Divide both sides by 6.</p><p></p><p>4=x4=x$

Therefore, 4 persons are required to build the same house in 6 days.

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Answer 2

Answer:

4 persons are required to build the same house in 6 days.

Step-by-step explanation:

It is given that three persons can build a small house in 8 days.

Total work is done is

W_1=8\times 3=24W 1 =8×3=24W

1

=8×3=24W1=8×3=24

Let the same house can build by x person in 6 hours.

Total work is done is

W_2=6\times x=6xW 2 =6×x=6x W_1=W_2W 1 =W 2 24=6x24=6x Divide both sides by 6. 4=x4=xW

2

=6×x=6xW2=6×x=6xW

1

=W

2

W1=W224=6x24=6xDividebothsidesby6.4=x4=x

Therefore, 4 persons are required to build the same house in 6 days.

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