Question

Mr. Sanjay works as three times faster than Mr. Karan and takes 6 days less than to do a piece of work than Mr. Karen. Find out in how many days Mr. Karan can complete a work?
1. 12 days
2. 14 days
3. 16 days
4. 9 days

Answer 1

Correct Answer - Option 4 : 9 days

Given:

Mr Sanjay's efficiency = 3(Mr. Karan's efficiency)

Formula used:

Time = Total work/Efficiency

Concept used:

Efficiency is inversely proportional to time is taken

Calculation:

Let Mr Karan completes work in x days

Then, Sanjay completes in (x/3) days

According to the question:

⇒ x – (x/3) = 6

⇒ 2x/3 = 6

⇒ x = 9 days

∴ Mr Karan completes work in 9 days.