QOTD-A is four times as good a workman as B and thus, able to finish a piece of work in 90 days less as compared to B. In how many days the work can be completed if they work together?
2019-08-07 | Team PendulumEdu
As we know, efficiency is inversely proportional to time.
According to the question, the ratio of efficiencies of A and B is 4 : 1
Thus, the ratio of time taken by A and B alone to complete the work will be 1 : 4
Let the time taken by A to complete the work is x days
So time taken by B to complete the work will be 4x days
As given, A finishes a piece of work in 90 days less as compared to B
4x – x = 90
x = 30
A alone can complete the work in 30 days.
B alone can do it in 120 days
So, 1 day work of A and B, if both are working together will be
Therefore, A and B together will require 24 days to complete the work.
Hence, A is the correct answer.
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