Question

A can complete a work in 12 days and B can complete the same work in 8 days.
What part of the work will they all together complete in 1 day?
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Answer 1

$\large{ \text{ \underline{Given}}}$

• A can complete a work in 12 days.
• B can complete the same work in 8 days.

$\text{ \large{ \underline{ \underline{ To \: find}}}}$

• What part of the work will they all together complete in 1 day?

$\large{ \underbrace{ \text{✿Solution}}}$

As, A can complete the work in 12 days,

$\sf{ \therefore{A's \: 1 \: day \: work = \frac{1}{12} }}$

Again, B can complete the work in 8 days,

$\sf{ \therefore{B's\: 1 \: day \: work \: = \frac{1}{8} }}$

Now, in 1 day, A and B together completes ,

$\sf{ \frac{1}{12} + \frac{1}{8} } \\ \\ \sf{ = \frac{2 + 3}{24}} \\ \\ \sf{ \orange{ = \frac{5}{24} }}$

$\sf{ \underline{ \green{Hence, \: A \: and \: B \: together \: completes \: \frac{5}{24} of \: the \: work. }}}$

Hope this helps you Doraemon!! ✌