Question : Vipin can do a piece of work in 2 days; Vaibhav can do the same work in 3 days and Chirag can do the same work in 6 days. If they start working together, how many days will they take to complete the work?
Option 1: 3
Option 2: 1
Option 3: 5
Option 4: 4
Correct Answer: 1
Solution :
Given: Vipin can do a piece of work in 2 days.
Vaibhav can do the same work in 3 days and Chirag can do the same work in 6 days.
So, total work = LCM of 2, 3, and 6 = 6 units
One day's work of Vipin = $\frac{6}{2}=3$ units
One day's work of Vaibhav = $\frac{6}{3}=2$ units
One day's work of Chirag = $\frac{6}{6}=1$ units
They start working together, the work will be completed in = $\frac{6}{3+2+1}=\frac{12}{12}=1$ day
Hence, the correct answer is 1 day.
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