The ratio of number of days taken by Barney is to Chandler is 2 : 3. The ratio of efficiency of Abraham is to Chandler is 5 : 3. Abraham takes 4 days less than Chandler, when Abraham and Chandler complete the work individually. Abraham, Barney and Chandler started the work and Barney & Chandler left after 2 days. The number of days taken by Abraham to complete the remaining work is: Correct Answer 1 day Calculation: ⇒ The ratio of efficiency is inversely proportional to the amount of Time taken. Hence Abraham and Chandler will take Time in ratio 3 : 5 to complete the same work. ⇒ So, in terms of numbers, days have taken to complete the work: ⇒ Barney : Chandler = 2 : 3 Abraham: Chandler = 3 : 5 ⇒ Abraham: Barney: Chandler = 9 : 10 : 15 ⇒ If Abraham is taking 9x days, Barney takes 10x days and Chandler takes 15x days. ⇒ Abraham takes 4 days less than Chandler => 9x = 15x – 4 => x = 2/3. ⇒ Abraham takes 6 days, Barney takes 20/3 days and Chandler takes 10 days. ⇒ In one day Abraham does (100/6)%, Barney does 15% and Chandler does 10% of the work. ⇒ If Abraham, Barney and Chandler work for two days together. So, in 2 days, amount of work done ⇒ 2(100/6 + 15 + 10) = 250/3 % ⇒ Amount of work left = 100 – 250/3 = 50/3%. ⇒ This can be completed by “Abraham” in 1 day.