If A, B and C work individually, then they can finish a piece of work in 27, 36 and 45 days respectively. How many days are required to complete the task if they work together?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 11 .
A, B, and C work individually, then they can finish a piece of work in 27, 36 and 45 days respectively
L.C.M(27, 36, and 45) = 540
The efficiency of A = 540/27 = 20 units
The efficiency of B = 540/36 = 15 units
The efficiency of C = 540/45 = 12 units
Time taken by all three = 540/(20 + 15 + 12) = 540/47 = 11