P and Q can do the work together in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-thirds part of the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 24.
Time taken by P and Q to do the work = 12 days
P alone can do the work in 18 days
L.C.M(12 and 18) = 36
The efficiency of P and Q = 36/12 = 3 units
The efficiency of P = 36/18 = 2 units
Thus,
The efficiency of Q = 3 - 2 = 1 unit
two-third part of the work = 2/3 × 36 = 24 units
Time taken by Q = 24/1 = 24 days