Question

A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work, both working together?
A. 2 days
B. 3 days
C. 4 days
D. 6 days

Answer 1

Answer:

This will be the right answer....

Answer 2

$\Huge{\underline{\underline{\mathfrak{ Solution \colon }}}}$

A can do a peice of work in 4 days

Work done by A in 1 day = 1/4

Similarly, B can do a peice of work in 12 days

So, Work done by B in 1 day = 1/ 12

Now, According to the question we have to find work done together by A and B in 1 day

Adding together

$: ⟹ (\frac{1}{4} + \frac{1}{12} )$

$: ⟹ \frac{ \bold{3 + 1}}{ \bold{12}}$

$: ⟹ \cancel\frac{ 4}{12} = \frac{1}{3}$

$⟹ \text{3 \: days}$

Hence, They will finish their work by working together in 3 days

So, Option (B) is the correct answer

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