Practicing Success
A can do a piece of work in 15 days and the efficiency of B and C is 12 unit/day and 10 unit/day respectively. Work done by A and C together in 1 day is 4 units more than B and C together. Then find the time taken by B is how much percent more than time taken by A? |
24% 33\(\frac{1}{3}\)% 32% 52% |
33\(\frac{1}{3}\)% |
B C Efficiency 12 10 ATQ, (A+C) - (B+C) = 4 A - B = 4 (A's eff. is 4 unit more than B's) Hence, A B efficiency 16 12 Time taken by A & B 12 16 Total work = Efficiency × Number of days So ratio of efficiency and time is inverse to each other Now, more time is taken by B i.e 4R Required % = \(\frac{4R}{12R}\) × 100 = 33\(\frac{1}{3}\)% |