Question : Working efficiencies of P and Q for completing a piece of work are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio.
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 3 : 4
Option 4: 4 : 3
Correct Answer: 4 : 3
Solution :
Given the working efficiencies of P and Q for completing a piece of work are in the ratio 3 : 4
Let the Working efficiencies of P and Q for completing a piece of work be $3a$ and $4a$.
Let the total work be 1 unit.
Time taken by P to complete the work = $\frac{1}{3a}$
Time taken by Q to complete the work = $\frac{1}{4a}$
Required ratio = $\frac{1}{3a}$ : $\frac{1}{4a}$ = 4 : 3
Hence, the correct answer is 4 : 3.
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