Question

Ravi, Sanjay and Mukund can each individually build a wall in 5, 8 and 10 days respectively. Due to difficult terrain and slushy conditions at the site, the individual time required for each to complete the work has increased by 20%, 25% and 50% respectively. How long will they take to build the wall if they work together?​

Answer 1

You can solve it like this. By calculating the new efficiency we can easily find out the number of days taken by each individual

Answer 2

Answer:  

It takes 3 days to build the wall.

Solution:  

According to the question,

Given Data:  

Three persons build a wall:

5 days.

8 days.

10 days.

To find:

Time required to build the wall if Ravi, Sanjay & Mukund work together.

Step-by-step explanation:

Step 1:

Ravi build the wall =$\left(\frac{120}{100}\right) \times 5$ = 6 days.

Sanjay build the wall  $=\left(\frac{125}{100}\right) \times 8$= 10 days.

Mukund build the wall $= \left(\frac{150}{100}\right) \times 10$ = 15 days.

Step 2:

So, in 1 day

Ravi can do = $\left(\frac{1}{6}\right)^{th}}$ of work

Sanjay can do = $\left(\frac{1}{10}\right)^{\{th}}$ of work

Mukund can do = $\left(\frac{1}{15}\right)^{\{th}}$ of work

Step 3:

∴Total work = $\frac{1}{6}+\frac{1}{10}+\frac{1}{15}=\frac{10}{30}=\frac{1}{3}$

Step 4:

Result:

Therefore the whole work will be done in =$\frac{1}{\frac{1}{3}}$ = 3 days.