Question

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is​

Answer 1

Answer:

so a would complete the work in 12 days

Answer 2

A can finish the job in 12 days.

Step-by-step explanation:

Let B in `1 day can complete the x part of work.

So, A in 1 day can complete the 3x part of work.

So, working together they finish (x + 3x) = 4x part of work in one day.

Then, working together A and B finish the work in $\frac{1}{4x}$ days.

Now, given that, $\frac{1}{4x} = 9$

⇒ $x = \frac{1}{36}$

⇒ $3x = \frac{3}{36} = \frac{1}{12}$

Hence, A can complete $\frac{1}{12}$ part of work in 1 day.

Therefore, A can finish the job in 12 days. (Answer)