Arithmetic Ability
Time and Work

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Q.

P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days?

View Answer

Correct choice: B

Explanation:

Ratio of times taken by P & Q = 100 : 130 = 10:13 Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10 P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.
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