Kohli, Dhoni and Yuvraj are there people who can complete a work in 10, 20 and 25 days respectively.no 2 consecutive days have the same pair of people working?

 

Kohli, Dhoni and Yuvraj are there people who can complete a work in 10, 20 and 25 days respectively. What is the minimum number of days required to complete the work if not more than 2 people among them work on the same day and no 2 consecutive days have the same pair of people working?

 

A.    7

B.    82/7

C.    103/15

D.    28/3

 

C. 103/15

 

Let us use efficiency method to solve

Let 10 units of work needs to be completed.

So,

Efficiency of kohli=10%

Efficiency of Dhoni= 5%

Efficiency of Yuvraj= 4%

So, kohli+Dhoni=15%, 

Dhoni+Yuvraj=9% and Kohli+Yuvraj=14%.

 

To reduce the number of days we have to select the pair with more

Efficiency. So, if we select Kohli+Dhoni and Kohli+Yuvraj alternately

We will get our value,

So, 15+14+15+14+15+14=87% work is done in 6 days.

So, The remaining 13% can be done in 13/15 days.

So, minimum number of days required is 6+13/15=103/15days.

 

  

 

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