Quantitative Aptitude :: Time and Work - Discussion

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Explanation:
Ratio of times taken by A and B = 100 : 130
assume B takes x days to do the work.
So, 100:130::15:x
=> x=130*15/100=39/2.
B's 1 day's work=2/39
and A's 1 day's work=1/15
(A+B)'s 1 day's work=69/585
A & B together can complete the work in 585/69 days..