A and B can complete a work in 18 days and 36 days, respectively. They work together for 8 days, and then A leaves. How many days will it take B to complete the rest of the work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 12
Given that
A and B can complete a work in 18 days and 36 days, respectively
Total work = LCM (18, 36) = 36 days
The efficiency of A = 36/18 = 2
The efficiency of B = 36/36 = 1
According to the question
⇒ (A + B) × 8 + B × d = 36
⇒ (2 + 1) × 8 + 1 × d = 36
⇒ 3 × 8 + d = 36
⇒ 24 + d = 36
⇒ d = 36 - 24 = 12 days
Hence, B can complete the rest of the work is 12 days