if 32 men can finish a piece of work in 15 days. IN how many days can 20 men finish the same work.
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if 32 men can finish a piece of work in 15 days. IN how many days can 20 men finish the same work.
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Answer:
Case-1
Number of people (P₁) = 32
Days required (D₁) = 15
Case-2
Number of people (P₂) = 20
Days required (D₂) = ?
Here, we have to find the days required in case 2 can be solved by the equation:
\boxed{\bold{\sf{P_1\times D_1=P_2\times D_2}}}P1×D1=P2×D2
Applying the values to the equation:
\sf{\implies 32\times 15=20\times D_2}⟹32×15=20×D2
\sf{\implies 480=20 \ D_2}⟹480=20 D2
\sf{\implies D_2=\dfrac{480}{20}}⟹D2=20480
\sf{\implies D_2=24}⟹D2=24
∴ In 24 days, 20 men finish the same work.
\boxed{\bold{\sf{\therefore Days \ Required=24 \ days}}}∴Days Required=24 days
Answer:
Applying the values to the equation: ∴ In 24 days, 20 men finish the same work.