A can complete the work in 12 days, B in 15 days, and C in 20 days. They work in the following manner:
• On the first day A works,
• On the second day, B works,
• On the third day, C works, The cycle repeats in the same order.
In how many days will the work be completed?
Show answer & explanation
Correct answer: C
Explanation
Given:
A = 12 days
B = 15 days
C = 20 days
A's daily rate = 1/12
B's daily rate = 1/15
C's daily rate = 1/20
Work done in 3 days = 1/12 + 1/15 + 1/20
= 5/60 + 4/60 + 3/60
= 12/60
= 1/5
That is, 1/5 of the work is done in 3 days. In 15 days