Question : A work was finished by L, P, and Q together. L and P together finished 50% part of the work and P and Q together finished 60% part of the work. Who among the three is most efficient?
Option 1: All are equally efficient
Option 2: L
Option 3: Q
Option 4: P
Correct Answer: Q
Solution :
Let the total amount of work be a.
⇒ Work done by L and P together = $\frac{50}{100}$a = 0.5 a
⇒ Work done by Q alone = a – 0.5 a = 0.5 a
Also, Work done by P and Q together = $\frac{60}{100}$a = 0.6 a
⇒ Work done by P alone = 0.6 a – 0.5 a = 0.1 a
⇒ Work done by L = a – 0.6 a = 0.4 a
$\therefore$ Q is the most efficient.
Hence, the correct answer is Q.
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