Three persons namely govinda, Raheem and sudhir can complete a work in 8, 12 and 15 days, respectively. The time taken to complete the work when they worked together is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 40/11 days.
Given:
Three persons namely govinda, Raheem and sudhir can complete a work in 8, 12 and 15 days
Calculations:
Total work (LCM of 8, 12 and 15) = 120 units
Efficiency of govinda for one day = 120/8 = 15 units
Efficiency of Raheem for one day = 120/12 = 10 units
Efficiency of sudhir for one day = 120/15 = 8 units
Total efficiency = 15 + 10 + 8 = 33 units
Required number of days = 120/33 = 40/11 days