Question

Kamal can do work in 15 days. Bimal is 50% more efficient than Kamal. What is the number of days, Bimal will take to do the same piece of work?

Answer 1

Hint: In this question, we need to determine the number of days in which Bimal can alone complete the work such that Bimal is 50% more efficient than Kamal and Kamal can finish the work alone in 15 days. For this, we will use the conceptualized theory of unitary method, wherein we focus to find the quantity for a unit scale and then multiply to get the required amount of time.


Complete step-by-step answer:
Let the number of days in which Bimal could finish the work alone be ‘x’.
If a person is more efficient then, it means that he/she could do the work in less time in comparison to the person with less efficiency.
Here, in the question Bimal is 50% more efficient than Kamal so, it is obvious that Bimal will take less time to complete the same piece of work, while working alone, in comparison to Karan.
So,
With 100% efficiency of Karan, work is completed in 15 days.
With 150% efficiency of Bimal, time to complete the work is given as:
   $
\Rightarrow x = \dfrac{{15}}{{150\% }} \\
   = \dfrac{{15}}{{1.5}} \\
   = 10 \\
   $
Hence, Bimal with 50% more efficiency than Kamal will complete the work in 10 days.

Note: It is worth noting down here that the efficiency is inversely proportional to the time of completion of the work. So, we can say that more the efficient the worker, the less the time taken to complete the work.