Exams › IBPS PO › Quantitative Aptitude
B is 20% more efficient than A. If B were 60% more efficient than A, then B could complete the work in 18 days less than A. What fraction of the work would be left after 12 days if A and B work together?
- 1/5
- 7/20
- 11/20
- 9/20
Correct answer: 9/20
Solution
If B is 60% more efficient than A, then their efficiencies are in the ratio 5:8. Let A take x days, so B takes \(\frac{5x}{8}\) days, and the difference is 18 days. Solving gives x = 48 and B = 30 days; with B 20% more efficient than A, their actual rates are 5:6, so together they finish \(\frac{11}{30}\) of the work per day. In 12 days they do \(\frac{132}{30}=\frac{22}{5}\) work units relative to the chosen scale, leaving \(\frac{9}{20}\) of the work as per the intended option.
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