SBI Junior Associate 2014 · Question 35 of 200

A is 60% more efficient than B. In how many days will A and B together complete a piece of work if A alone can complete the work in 15 days?

arithmetic

A$$9\frac{7}{13}$$
B$$8\frac{9}{13}$$
C$$8\frac{4}{13}$$
D$$10\frac{1}{13}$$
E$$9\frac{3}{13}$$Correct

Answer: E. $$9\frac{3}{13}$$

Explanation

Time taken by A alone = 15 days Efficiency of A : B = 100 : 160 = 15 : 24 => Time taken by B = 24 days $$\therefore$$ (A + B)'s 1 day's work = $$\frac{1}{15} + \frac{1}{24}$$ = $$\frac{8 + 5}{120} = \frac{13}{120}$$ $$\therefore$$ Required time = $$\frac{1}{\frac{13}{120}}$$ = $$\frac{120}{13} = 9\frac{3}{13}$$ days

Source: SBI Clerk 27 July 2014 Paper with Solutions — Cracku · reliable-secondary

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