A man, a boy and a woman can finish a work in 10 days, 15 days and 30 days, respectively. In how many days can the work be finished by a man, a woman and a boy when all of them work together?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 5.
A man, a boy, and a woman can finish work in 10 days, 15 days, and 30 days, respectively.
L.C.M(10, 15, and, 30) = 30
The efficiency of a man = 30/10 = 3 units
The efficiency of a boy = 30/15 = 2 units
The efficiency of a woman = 30/30 = 1 unit
Time taken = 30/6 = 5 days