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? ?->(Show Answer!)

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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? ?->(Show Answer!)

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1. 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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By: guest on 01 Jun 2017 05.49 pm

Ratio of times taken by A and B = 100 : 130 = 10 : 13. Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x x = 23 x 13 x = 299 . 10 10 A's 1 day's work = 1 ; 23 B's 1 day's work = 10 . 299 (A + B)'s 1 day's work = 1 + 10 = 23 = 1 . 23 299 299 13 Therefore, A and B together can complete the work in 13 days.

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