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A is 30% more efficient than B and B is 20% less efficient than C. If A takes 8 days less than C to complete a work, then in how many days B can complete the work?1. 230 days2. 240 days3. 260 days4. 250 days5. 210 days |
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Answer» Correct Answer - Option 3 : 260 days Given: A is 30% more efficient than B B is 20% less efficient than C Concept Used: Efficiency = Total work/Total time Calculation: C : B = 100 : 80 A : B = 104 : 80 A : B : C = 104 : 80 : 100 ⇒ A : B : C = 26 : 20 : 25 (Efficiency Ratio) L.C.M of 26, 20, 25 is 1300 Ratio of their days is A : B : C = \(\frac{{1300}}{{26}}{\rm{\;}}:{\rm{\;}}\frac{{1300}}{{20}}{\rm{\;}}:{\rm{\;}}\frac{{1300}}{{25}}\) ⇒ A : B : C = 50x : 65x : 52x A takes 8 days less than C to complete the work. (52x – 50x) = 2x ⇒ 2x = 8 days ⇒ 65x = 260 days ∴ B takes 260 days to complete the job |
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