Suman and Arun together can finish a piece of work in 96 days, Arun and Rahul in 48 days, and Rahul and Suman in 80 days, then Rahul, Suman, and Arun jointly can finish the same work in approximately how many days?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 46 days.
Suman and Arun together can finish the work = 96 days
Arun and Rahul together can finish the work = 48 days
Rahul and Suman together can finish the work = 80 days
Let's assume the total work = LCM of 96, 48, and 80 = 480
Efficiency = Total work/Total time
So, the efficiency of Suman and Arun = 480/96 = 5
Arun and Rahul = 480/48 = 10
Rahul and Suman = 480/80 = 6
Rahul, Suman, and Arun jointly can finish the same work = 480/(21/2) = 45.7 days = 46 days