A can complete a work in 15 days. A started the work alone and work for 4 days. B alone complete the remaining work in 18 days. In how many days will A and B together finish the work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e.
Given that
A can do work in 15 days
A started work for 4 days and then remaining work done alone by B in 18 days
According to the question
⇒ A × 15 = A × 4 + B × 18
⇒ 15 A - 4 A = 18 B
⇒ 11 A = 18 B
⇒ A/B = 18/11
Total work = 18 × 15 = 270
Hence, A and B together will finish this work: 270/(18 + 11) = 270/29 =