Question

12 men can build a wall in 15 days they worked for three days and then the contractor bring a team of 18 main to complete the work how many days will they now take to complete the remaining work?​

Answer 1

Answer:

The time taken by 18 men to build the remaining wall is 8 days .

Step-by-step explanation:

Given as :

Let The 18 man can build the remaining wall in d days

Time taken by 12 men to build a wall = 15 days

i.e 12 men in 15 days make 1 wall

Or, 12 men in 1 day make $\dfrac{1}{15}$ wall

∴, 12 men  in 3 days make $\dfrac{1}{15}$ × 3 wall

i.e 12 men  in 3 days make $\dfrac{1}{5}$ wall

Again

Contractor bring team of 18 men to complete the remaining work

Remaining work = 1 -  $\dfrac{1}{5}$

Or, Remaining work = $\dfrac{5-1}{5}$

∴ Remaining work   = $\dfrac{4}{5}$

Now,

∵  $\dfrac{men\times day}{work}$ = constant

So, $\dfrac{12\times 3}{\frac{1}{5}}$  = $\dfrac{18\times d}{\frac{4}{5}}$

Or, 4 × 12 × 3 = 18 × d

∴, d =  $\dfrac{144}{18}$

i.e d = 8 days

So, The time taken by 18 men to build the remaining wall = d = 8 days

Hence, The time taken by 18 men to build the remaining wall is 8 days . Answer