Quantitative Aptitude · Time & Work
Praveen can complete a work in 12 days and Varun can complete the same work in 16 days. If both work together, how many days will they take to complete the work?
Question
Praveen can complete a work in 12 days and Varun can complete the same work in 16 days. If both work together, how many days will they take to complete the work?
Options
Attempt the question to unlock explanation.
Explanation
Given
Praveen's time to complete work = 12 days Varun's time to complete work = 16 days
Explanation
Step 1: Find daily work rate of Praveen and Varun
Step 2: Find combined 1-day work
LCM of 12 and 16 = 48
So, together they do ( \frac{7}{48} ) of the work in 1 day.
Step 3: Find total days to complete 1 work
✅ Answer
Approximately 6.86 days (Option B: 7 days)