Question

Vishal and Shashank can do a job in 8 days. Shashank and Vikas can do same job in 12 days.

Vishal, Shashank and Vikas together can do the same job in 6 days. In how many days Vishal

and Vikas together can complete the job ?​

Answer 1

Answer:

10 day is correct answer

Answer 2

Answer:

Vishal and Vikas together can complete the job is 8 days.

Step-by-step explanation:

Given:

Vishal and Shashank can do a job in 8 days.

Shashank and Vikas can do same job in 12 days.

Vishal, Shashank and Vikas together can do the same job in 6 days.

Formula:

$Work=Efficiency\times Days$

To calculate total work and efficiency of all three we have find LCM of days.

LCM(8,12,6) = 24

Let us assume, 24 be the total work.

Now, $Efficiency = \frac{Work}{Days}$

Efficiency of Vishal and Shashank = $\frac{24}{8} = 3$

Efficiency of Shashank and Vikas = $\frac{24}{12}= 2$

Efficiency of Vishal and Shashank and Vikas = $\frac{24}{6}=4$

Now, we have to calculate individual efficiency of Vishal and Vikas.

Efficiency of Vishal = Efficiency of Vishal and Shashank and Vikas - Efficiency of Shashank and Vikas

Efficiency of Vishal = $4-2=2$

Efficiency of Vikas = Efficiency of Vishal and Shashank and Vikas - Efficiency of Vishal and Shashank

Efficiency of Vikas = $4-3=1$

Efficiency of Vishal and Vikas together = $2+1=3$

So, Number of days Vishal and Vikas together can complete the job = Total work/ Efficiency of Vishal and Vikas together

$=\frac{24}{3}$

$=8$

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