Question : A, B, and C are assigned to complete a work. If the ratio of time taken by A, B, and C is 4 : 3 : 6. Find the ratio of their efficiency.
Option 1: 3 : 4 : 2
Option 2: 4 : 3 : 6
Option 3: 3 : 4 : 6
Option 4: 4 : 6 : 8
Correct Answer: 3 : 4 : 2
Solution :
Given: the ratio of time taken by A, B and C is 4 : 3 : 6.
We know that efficiency is inversely proportional to time.
So, the ratio of their efficiency
= $\frac{1}{4}:\frac{1}{3}:\frac{1}{6}$
= $\frac{12}{4}:\frac{12}{3}:\frac{12}{6}$ [Multiplying each ratio by 12(LCM of 4, 3 and 6)]
= 3 : 4 : 2
Hence, the correct answer is 3 : 4 : 2.
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