Working together. A, B, and C can finish a piece of work in 3 hours. A finishes the same work in 8 hours and B finishes it in 6 hours. How long will it take for C alone to finish the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 24 hours
The total work done, let be the LCM of 3, 8, and 6 = 24 units
A, B, C efficiency together = 24/3 = 8 hours
A's efficiency = 24/8 = 3 hours
B's efficiency = 24/6 = 4 hours
⇒ The efficiency of C = (8 - 3 - 4) = 1 unit per day
Number of hours taken by C to finish the work alone = 24/1 = 24 hours