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If 32 men working 12 hours a day can do a work in 15 days, then how many men working 10 hours a day can do double that work in 24 days? - Mathematics

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प्रश्न

If 32 men working 12 hours a day can do a work in 15 days, then how many men working 10 hours a day can do double that work in 24 days?

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उत्तर

Days (D) Hours (H) Men (P)
15 12 32
25 10 x

Let

P1 = 32

P2 = x

H1 = 12

H2 = 10

D1 = 15

D2 = 24

W1 = 1

W2 = 1

Using formula, `("P"_1 xx "D"_1 xx "H"_1)/("W"_1)` = `("P"_2 xx "D"_2 xx "H"_2)/("W"_2)`

= `(32 xx 15 xx 12)/1` = `(x xx 24 xx 10)/1`

x = `(35 xx 15 xx 12)/(24 xx 10)`

x = `(8 xx 3 xx1)/(1 xx 1)`

x = 24 persons

To complete the same work 24 men needed.

To complete double the work 24 × 2 = 48 men are required.

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Compound Variation
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पाठ 4: Life Mathematics - Exercise 4.5 [पृष्ठ १५१]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 4 Life Mathematics
Exercise 4.5 | Q 6 | पृष्ठ १५१

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