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The ratio of efficiencies of Gary, Sunny and Allan is 3 : 2 : 7. Gary and Sunny work for a week. After that, Sunny leaves and Allan joins Gary. After one more week, the work gets finished. In how many days can Sunny finish the work if he works alone?1). 152). 353). 52.54). 75 |
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Answer» The ratio of efficiencies of Gary, Sunny and Allan is 3 : 2 : 7. Suppose Gary, Sunny and Allan finish WORK alone in T/3, T/2 and T/7 DAYS, respectively. Work done in one day by Gary, Sunny and Allan will be 3/T, 2/T and 7/T, respectively. Gary and Sunny work for a week. After that, Gary leaves and Allan JOINS Sunny. After one more week, the work GETS finished ⇒ Work done in FIRST week = 7 × (3/T + 2/T) = 35/T ⇒ Work done in second week = 7 × (3/T + 7/T) = 70/T ⇒ 35/T + 70/T = 1 ⇒ T = 105 ∴ Number of days in which Sunny finish works alone = T/2 = 105/2 = 52.5 days |
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