Multiple choice

Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?

  1. 50%

  2. 75%

  3. 100%

  4. 150%

  5. 200%

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ram does 40% in 12 days. Ram's rate = 40/12 = 10/3 % per day. Remaining 60% done by Ram and Ravi in 12 days. Combined rate = 60/12 = 5% per day. Ravi's rate = 5 - 10/3 = 5/3 % per day. Efficiency ratio Ram:Ravi = (10/3) : (5/3) = 2:1. Ram is 100% more efficient than Ravi.

AI explanation

Ram completes 40% of the work in 12 days, so his daily work rate is 40% divided by 12, which is 1/30 of the work per day. The remaining work is 60%, and together Ram and Ravi complete this in 12 days, making their combined daily rate 60% divided by 12, which is 1/20. By the work subtraction method, Ravi's daily rate is 1/20 minus 1/30, equaling 1/60. Comparing their efficiencies, Ram's rate of 1/30 is double Ravi's rate of 1/60, making Ram 100% more efficient.