Question

in a factory 6 workers, working 8 hours a day, manufacture 4 gates in 20 days. if 9 workers work 10 hours in a day, in how many days will they manufacture 6 gates.​

Answer 1

Answer:

19 Dayshfjddbxjxnisjsi

Answer 2

If 9 workers work 10 hours in a day, they will manufacture 6 gates in 16 days.

Step-by-step explanation:

We know that the formula of the Man-Days-hours is given by,

$\frac{M1 * D1 * H1}{W1} = \frac{M2 * D2 * H2}{W2}$

Here we have,

M1 = No. of workers = 5

D1 = No. of days = 20 days

H1 = No. of hours a day = 8 hours  

W1 = work to be done = 4 gates to be manufactured

M2 = No. of workers = 9

H2 = No. of hours a day = 10 hours

W2 = work done = 6 gates to be manufactured

D2 = No. of days = need to find?

Therefore, by substituting the given values

$\frac{6 * 20 * 8}{4} = \frac{9 * D2 * 10}{6}$

⇒ D2 = $\frac{6*20*8*6}{4*9*10}$

⇒ D2 = 16 days

Thus, 9 workers after working for 10 hours a day will manufacture 6 gates in 16 days.

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