To finish a work, P takes half of the number of days required by Q to finish it. If they together can finish the work in 36 days, then in how many days Q alone can finish the work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 108.
We know,
The number of days taken is inversely proportional to the efficiency
According to the question;
The ratio of the efficiency of P and Q, P : Q = 2 : 1
Let the efficiency be 2x and 1x.
Total work done = Efficiency × Number of days
⇒ (2x + x) × 36 = 3x × 36
⇒ 108x
Hence, the time taken by Q to complete the work = 108x/x = 108 days