Question

ten men can paint the second floor of a building in 3 days.How long would it take 6 men to do the same work?​

Answer 1

A n s w e r

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G i v e n

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• Ten men can paint the second floor of a building in 3 days

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F i n d

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• Days in which 6 men can complete the same work

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S o l u t i o n

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• Let 6 men can complete the work in 'd' days

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As the work will remain in both the cases i.e with 10 men & 6 men hence we will calculate the total work required to complete the work

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Case I [ With 10 men ]

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➠ Total work = Men × Days

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• Men = 10

• Days = 3

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: ➜ Total work = 10 × 3

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: ➜ Total work = 30 units

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Case II [ With 6 men ]

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➠ Total work = Men × Days

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• Men = 6

• Days = d

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: ➜ Total work = 6 × d

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: ➜ Total work = 6d units

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As discussed above the total work will remain same as in both cases as the work was same

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Thus ,

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: ➜ 30 = 6d

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: ➜ $\sf d = \dfrac { 30 } { 6 }$

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: : ➨ d = 5 days

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• Hence 6 men can complete the work in 5 days