Question : P takes twice as long as Q, or three times as long as R, to complete a task. If they work together, they can complete the task in two days. How long will it take Q to complete the task on his own?
Option 1: 8 days
Option 2: 6 days
Option 3: 5 days
Option 4: 7 days
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Correct Answer: 6 days
Solution :
Given: Q is twice as efficient as P and R is thrice as efficient as P.
If P does 1 unit of work per day, then Q will do 2 units per day, and R will do 3 units per day.
Now, work done by them in one day = (P + Q + R) = 6 units
Since they complete the task in 2 days, the total work = 2 × 6 = 12 units
So, Q alone will complete the task in $\frac{12}{2}$ days = $6$ days
Hence, the correct answer is 6 days.
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