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A Is 30% More Efficient Than B. How Much Time Will They, Working Together, Take To Complete A Job Which A Alone Could Have Done In 23 Days? |
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Answer» Ratio of times taken by A and B = 100:130 = 10:13 Suppose B takes X days to do the WORK. x = (23 * 13)/10 = 299/10 A's 1 day work = 1/23; B's 1 day work = 10/299 (A + B)'s 1 day work = (1/23 + 10/299) = 1/13 A and B together can COMPLETE the job in 13 days. Ratio of times taken by A and B = 100:130 = 10:13 Suppose B takes x days to do the work. x = (23 * 13)/10 = 299/10 A's 1 day work = 1/23; B's 1 day work = 10/299 (A + B)'s 1 day work = (1/23 + 10/299) = 1/13 A and B together can complete the job in 13 days. |
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