Arun and Aditya can complete a work separately in 8 days and 12 days, respectively. After 2 days of working alone, Aditya leaves the work. In how many days will Arun complete the remaining work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6 days.
Arun and Aditya can complete a work separately in 8 days and 12 days, respectively.
Total work = LCM of 8 and 12 = 24 units
Amount of work done by Arun in a day = 24/8 = 3 units
Amount of work done by Aditya in a day = 24/12 = 2 units
Amount of work done by Aditya in 2 days = 2(2) = 4 units
Remaining work to be done by Arun = 24 - 4 = 20 units
Time taken by Arun to complete the work = 20/3 = 6days