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Question
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 ?
11 days
13 days
21 days
None of these
ANSWER : 2
Descrption
<p style="margin-left:0px;">Ratio of times taken by A and B = 100:130 = 10:13<br>Suppose B takes x days to do the work.<br>Then, 10:13 :: 23:x<br>∴ x = 299/10<br>A's 1 day's work = 1/23<br>B's 1 day's work = 10/299<br><br>(A+B)'s 1 day's work = (1/23 + 10/299) = 1/13<br>Therefore, A and B together can complete the work in 13 days.</p>
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