Question
A is 30% more efficient than B .How much time the , working together , take to complete a job which A alone could have done in 23 days ?
Answer: Option A
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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` ` rArr x = ((23 xx 13)/(10))` ` rArr x = 299/10`
A's 1 days work = `1/23`; B's 1 days work = `10/299`
(A + B)'s 1 day's work = `(1/23 + 10/299)= 23/299 = 1/13`
`:.` A and B together can complete the job in 13 days.
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