In the normal course. Ravi, Sanjay, and Mukund can each individually build a…
2025
In the normal course. 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?
- A.
3 days
- B.
4 days
- C.
6 days
- D.
2 and 6/17 days
Attempted by 512 students.
Show answer & explanation
Correct answer: A
Solution:
Given information:
Ravi can alone build the wall in 5 days.
Sanjay can alone build the wall in 8 days.
Mukund can alone build the wall in 10 days.
Due to climatic changes, the individual time required for each to complete the work has increased to 20%, 25% & 50% respectively.
To find the time required to build the wall if Ravi, Sanjay & Mukund work together.
Since the individual time required to build the wall has increased due to difficult terrain and slushy conditions at the site.
The new time taken by three of them individually will be
Ravi can alone build the wall in = (120/100) * 5 = 6 days.
Sanjay can alone build the wall in = (125/100) * 8 = 10 days.
Mukund can alone build the wall in = (150/100) * 10 = 15 days.
So, in 1 day
Ravi can do = (1/6)th of work
Sanjay can do = (1/10)th of work
Mukund can do = (1/15)th of work
∴Total work done in 1 day if three of them work together = 1/6 + 1/10 + 1/15 = 10/30 = 1/3
By the unitary method, we can get
If 1/3rd of whole work is done in 1 day.
Then,
The whole work will be done in = 1/(1/3) = 3 days.
∴Total time required by Ravi, Sanjay & Mukund to build the wall, if they work together = 3 days.