Question

12 workers can build a wall in 60 days. If they work for 20 days and 8 new more workers
employed. If new workers can do the same work in 40 days. Then find the total days to
complete the whole work.​

Answer 1

Answer:

The total days to complete the whole work is 24 days .

Step-by-step explanation:

Given as :

Number of days required by 12 workers can build a wall = 60 days

∴ Number of days required by 1 worker can build a wall = 12 × 60 = 720 days

i.e Less men = more days

∴ 1 worker's 1 day's work = $\dfrac{1}{720}$

Part of work done in first 20 days = $\dfrac{20}{60}$ = $\dfrac{1}{3}$

Now, Left part of work = 1 - $\dfrac{1}{3}$ = $\dfrac{3 - 1}{3}$

Or, Left part of work = $\dfrac{2}{3}$

Now, As $\dfrac{men\times day}{work}$ = constant

So,  $\dfrac{m_1\times d_1}{w_1}$ = $\dfrac{m_2\times d_2}{w_2}$

or, $\dfrac{12\times 20}{\frac{1}{3}}$   = $\dfrac{20\times d}{\frac{2}{3}}$

Or, 12 × 20 × 2 = 20 × d

Or, 480 = 20 d

∴  d = $\dfrac{480}{20}$

i.e  d = 24

Hence, The total days to complete the whole work is 24 days . Answer

Answer 2

Answer:

Answer is 24 days.

Step-by-step explanation:

24 days