Neeraj is 4 times as efficient as Dheeraj and together they complete a work in 44 days. How many days will Neeraj alone take to complete the same work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 55 days.
Let the work done by Dheeraj in 1 day be x units.
Therefore, the work done by Neeraj in 1 day is 4x units.
When Neeraj and Dheeraj work together, their combined work per day = 4x + x = 5x units/day
They together complete the work in 44 days. The total work is:
Total work = Work per day × Number of days.days
⇒ Total work = 5x × 44 = 220x units
Neeraj alone does 4x units of work per day. The time Neeraj will take to complete the total work =Total work/Neeraj’s work per day
⇒ Time = 220x/4x
⇒ Time = 55 days