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Fourteen women can prepare 45 dishes in 10 days if they work for 9 hours in a day. If the number of women gets reduced by 50% and the number of dishes reduces by 33.33%, in how many days will they finish preparing the dishes if they work for 3 hours in a day?

Fourteen women can prepare 45 dishes in 10 days if they work for 9 hours in a day. If the number of women gets reduced by 50% and the number of dishes reduces by 33.33%, in how many days will they finish preparing the dishes if they work for 3 hours in a day? Correct Answer 40

Given:

Fourteen women can prepare 45 dishes in 10 days if they work for 9 hours in a day.

Formula used:

1.) MDH/W is constant.

2.) M1 × D1 × H1/W1 = M2 × D2 × H2/W2

Where,

M → The number of men

H → The number of hours

D → The number of days

W → The amount of work

Calculation:

Fourteen women can prepare 45 dishes in 10 days if they work for 9 hours in a day.

The number of women gets reduced by 50%

Number of women = 14 × 50/100 = 7

The number of dishes reduces by 33.33%

Number of dishes = 45 × (100 – 33.33)/100

⇒ 45 × 66.66/100

⇒ 45 × 200/300 = 30

Let the number of days be x.

M1 × D1 × H1/W1 = M2 × D2 × H2/W2

⇒ (14 × 10 × 9)/45 = (7 × x × 3)/30

⇒ x = 40 days

∴ In 40 days will 7 men can preparing the remaining dishes if they work for 3 hours in a day.

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