Question

A and B together can do a piece of work in 4 days
which A alone can do in 12 days . In what time could
B alone do it?​

Answer 1

$\huge\mathcal{\fcolorbox{lime}{black}{\orange{QUESTION}}}$

A and B together can do a piece of work in 4 days which A alone can do in 12 days . In what time could B alone do it?

$\huge\mathcal{\fcolorbox{fushsia}{aqua}{\purple{ANSWER}}}$

If A completes the work in 12 days, then in one day the work done is 1/12th of the total work. Let the total work be 1.

Similarly for A and B to complete 1 work, they would take 4 days and in one day, 1/4th of total work is done by both of them.

So in one day A does 1/12th of the work and B does 1/B th of the work and together they complete 1/4th of the work.

Hence, 1/B + 1/12 = 1/4

$\bold\color{red}\boxed{\sf{ B=6 }}$

Effectively B takes 6 days to complete the work.

$\huge{\bold{\blue{Hope \ this \ helps \ uh..!!!}}}$

$\huge\mathcal\colorbox{olive}{➺Thanks}$

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