A and B can complete a certain task together in 30 days. After A works for 16 days, B is left to finish the remaining work by himself in 44 days. How many days would it take for B to complete the entire task on his own?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 60 days.
Total work = LCM(30, 44) = 660
(A + B) per day = 660/30 = 22
Let A = a, B = b
⇒ a + b = 22
Work equation:
⇒ 16a + 44b = 660
Put a = 22 − b:
⇒ 16(22 − b) + 44b = 660
⇒ 352 − 16b + 44b = 660
⇒ 28b = 308
⇒ b = 11
Time for B alone = = 60 days