Question

a can dig 1/12 of a treach in 1 day while b can dig 1/6 of the treanch in 3 days of they work together, how long will they take to dig the whole trench
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Answer 1

Answer:

Step-by-step explanation:

Since we have given that

A can dig a 1/12of a trench in 1 day

So, Number of days taken by A to complete its work would be

\begin{gathered}\dfrac{1}{\dfrac{1}{12}}\\\\=12\end{gathered}

12

1

1

=12

B can dig 1/6 of the trench in 3 days

So, Number of days taken by B to complete its work would be

\begin{gathered}\dfrac{3}{\dfrac{1}{6}}\\\\=3\times 6\\\\=18\end{gathered}

6

1

3

=3×6

=18

So, total time taken by them altogether would be

\begin{gathered}\dfrac{1}{12}+\dfrac{1}{18}\\\\=\dfrac{3+2}{36}\\\\=\dfrac{5}{36}\end{gathered}

12

1

+

18

1

=

36

3+2

=

36

5