Swati can do a piece of work in 60 days. She worked at it for 12 days and then Yogi finished it in 24 days. How long will they together take to complete the work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 20 days.
Swati’s time = 60 days
Yogi finished rest in 24 days after Swati worked 12 days.
Let total work = LCM of 60 & 24 = 120 units
Swati’s 1 day work = 120/60 = 2 units
after Swati worked 12 days:
Swati did 12 × 2 = 24units
Remaining work = 120−24 = 96 units
Yogi finished 96 units in 24 days ⇒ 96/24 = 4 units/day
Together: 2 + 4 = 6 units/day
Total work= 120 ⟹ 120/6 = 20 days