Ram, Ravi and Reena can do a piece of work in 16, 20 and 24 days, respectively. They began the work together but Ravi left the work 5 days before the completion of the work. In how much time did they finish the work together?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. days.
Ram = 1/16, Ravi = 1/20, Reena = 1/24
Let time = x days
(x/16) + ((x – 5)/20) + (x/24) = 1
Multiply by 240:
15x + 12(x – 5) + 10x = 240
15x + 12x – 60 + 10x = 240
37x = 300
x = 300/37 ≈ days