Question

three person can paint a house in 8 days then 4 person can paint the same house in how many days

Answer 1

Answer: 6

Step-by-step explanation:

3 people can do work in 8 days thus 1 can do it in 8×3 = 24 days

4 people can do it in 24/4 = 6 days

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Answer 2

Given:

three people can paint a house in 8 days

To Find:

4 people can paint the same house in how many days

Solution:

It is given that three people can paint a house in 8 days and we need to find in how many days  4 person can paint the same house.

To find the answer to this question we will use the formula for Time and work which states,

$\frac{M_1D_1H_1}{W_1} =\frac{M_2D_2H_2}{W_2}$

where,

          M= manpower

          D= days

          H= hours

          W= work done

Now using the given values and letting the value of days be x in case of 4 people then we have,

$\frac{M_1D_1H_1}{W_1} =\frac{M_2D_2H_2}{W_2}\\\\\frac{3*8}{1} =\frac{4*x}{1}\\\\ x=6 days$

Hence, the number of days is 6 days.