Multiple choice

Two persons A and B can together complete a piece of work in 12 days, while B and C together complete the same work in 8 days. If A, B and C work together, then that work can be finished in 6 days. The number of days in which B alone can finish the same work is

  1. 16

  2. 18

  3. 24

  4. 30
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let the total work be 24 units. The combined efficiencies of A and B are 2 units per day, B and C are 3 units per day, and A, B and C together are 4 units per day. The efficiency of B alone is found by subtracting the efficiency of A and C from the total efficiency, which is 4 minus the difference of 5 and 4, yielding 1 unit per day. Dividing the total work of 24 units by B's efficiency of 1 unit per day gives 24 days.

Keep practicing — related questions