- Sachin, Yuvraj and Dhoni
- Sachin, Sourav and Dhoni
- Sachin, Sourav and Yuvraj
- Sourav, Yuvraj and Dhoni
Option 2 : Sachin, Sourav and Dhoni
Given :
Sachin takes three times longer than Sourav to do a work
To complete the same work, Sourav takes three times as long as Yuvraj
To complete the same work Yuvraj takes three times as long as Dhoni
Concept used :
Person's per day work = Total work/Number of days he takes to complete the work
Calculations :
Let the time taken by Dhoni be 't'
The time taken by Yuvraj will be '3t'
The time taken by Sourav will be '9t'
The time taken by Sachin will be '27t'
Now,
Total work = LCM of t, 3t, 9t, and 27t
⇒ 27t units
Sachin's per day work = 27t/27t = 1 unit
Sourav's per day work = 27t/9t = 3 units
Yuvraj's per day work = 27t/9t = 9 units
Dhoni's per day work = 27t/t = 27 units
One group can complete the work in 13 days and another group can complete in 31 days so,
The efficiency of the 1st group : Efficiency of 2nd group = 1/13 : 1/31
⇒ 31 : 13
We can see here
Efficiency (Dhoni, Sourav and Sachin) : Efficiency (Sachin, Sourav and Yuvraj) = 31 : 13
∴ Dhoni, Saurav, and Sachin group can complete the work in 13 days