Question

A can dig a 1/12of a trench in 1 day while B can dig 1/6 of the
trench in 3 days if they work together how long will they take to dig the whole Trench​

Answer 1

Answer:4 days

Step-by-step explanation:

Total work done by both in a day:

1/12 + 1/6 = 3/12 or 1/4

1/4 trench is digged in 1 day

So one trench is digged in 4 days

Answer 2

A and B together takes $\dfrac{36}{5}$ days to dig the whole trench.

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

$\dfrac{1}{\dfrac{1}{12}}\\\\=12$

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

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

$\dfrac{3}{\dfrac{1}{6}}\\\\=3\times 6\\\\=18$

So, total time taken by them altogether would be

$\dfrac{1}{12}+\dfrac{1}{18}\\\\=\dfrac{3+2}{36}\\\\=\dfrac{5}{36}$

So, A and B together takes $\dfrac{36}{5}$ days to dig the whole trench.

# learn more:

10 men can dig a trench in 15 days how long will 3 men take to dig the same trench

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