Question

3. A and B can do a piece of work in 6 and 12 days respectively. They (both) will complete the work in how many days

Answer 1

Answer:

6 days

Step-by-step explanation:

If A can do a piece of work in 6 days.

Then, A can do 1/6th of the work in a day.

If B can do a piece of work in 12 days.

Then, B can do 1/12th of the work in day.

So, A&B can do (1/6+1/12)=3/12=1/4th of the work in a day, together.

So, A & B can finish the work by 4 days {reciprocal of 1/4 is 4}

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Answer 2

A n s w e r

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G i v e n

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• A can do a piece of work in 6 days

• B can do the same work in 12 days

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F i n d

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• Number of required when both work together

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S o l u t i o n

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$\underline{\bold{\texttt{One day work of A :}}}$

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A can do a piece of work in 6 days

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➠ $\sf \dfrac { 1 } { 6 }$

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$\underline{\bold{\texttt{One day work of B :}}}$

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B can do the same work in 12 days

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➠ $\sf \dfrac { 1 } { 12 }$

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$\underline{\bold{\texttt{One day work when A and B work together :}}}$

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➜ $\sf \dfrac { 1 } { 6 } + \dfrac { 1 } { 12 }$

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➜ $\sf \dfrac { 2 + 1 } { 12 }$

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➜ $\sf \dfrac { 3 } { 12 }$

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➜ $\sf \dfrac { 1 } { 4}$

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Let "x" be the number of days required when both work together

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So,

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➜ $\sf \dfrac { 1 } { 4 } \times x = 1$

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➨ x = 4

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• Hence when A & B work together they can finish the work in 4 days