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Byju's Answer

Standard XII

Mathematics

Adjoint of a Matrix

If p persons ...

Question

If p persons working p hours a day for each of p days produce p units of work, then the unit of work produced by q persons working q hours a day for each of q days is

\frac{q^{3}}{p^{2}}

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\frac{q^{2}}{p^{3}}

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\frac{p^{2}}{q^{3}}

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\frac{p^{3}}{q^{2}}

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Solution

The correct option is A $\frac{q^{3}}{p^{2}}$
We know that
$\frac{M_{1} \times T_{1} \times D_{1}}{W_{1}} = \frac{M_{2} \times T_{2} \times D_{2}}{W_{2}}$

Therefore,
$\frac{p \times p \times p}{p} = \frac{q \times q \times q}{W_{2}}$
$W_{2} = \frac{q^{3}}{p^{2}}$

Hence, this is the answer.

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Similar questions

Q. If p persons working p hours a day for each of p days produce p units of works, then the units of work produced by q persons working q hours a day for each of q days is

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If p persons working p hours a day for each of p days produce p units of work, then the unit of work produced by q persons working q hours a day for each of q days is

The correct option is A q3p2We know thatM1×T1×D1W1=M2×T2×D2W2Therefore,p×p×pp=q×q×qW2W2=q3p2Hence, this is the answer.

The correct option is A $\frac{q^{3}}{p^{2}}$
We know that
$\frac{M_{1} \times T_{1} \times D_{1}}{W_{1}} = \frac{M_{2} \times T_{2} \times D_{2}}{W_{2}}$

Therefore,
$\frac{p \times p \times p}{p} = \frac{q \times q \times q}{W_{2}}$
$W_{2} = \frac{q^{3}}{p^{2}}$

Hence, this is the answer.