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 ?

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 ? Correct Answer 13 days

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