A is 30% more efficient than B and able to complete the work 30 days less then B. In how many days A alone can complete the work?
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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? Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13
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Explanation:
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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