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