Question : Pramod has done $\frac{1}{4}$th of a job in 9 days and Saroj completes the rest of the job in 27 days. In how many days can they together finish the job?
Option 1: 36 days
Option 2: 18 days
Option 3: 27 days
Option 4: 9 days
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Correct Answer: 18 days
Solution :
Given: Pramod has done $\frac{1}{4}$ of a job in $9$ days.
So, he alone will finish the work in $36$ days.
Given, Saroj completes $\frac{3}{4}$th of the work in $27$ days
So, she will complete the whole work in $36$ days
In 1 day, work done by both of them together $ =\frac{1}{36} + \frac{1}{36} = \frac{1}{18}$
$\therefore$ Number of days to complete the work$ = \frac{1}{18} = 18$ days
Hence, the correct answer is 18 days.
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