SSC Selection Post 2019 PYQ — Question 64

SSC Selection Post - Graduation Level 2019 - 16 Oct 2019 • Quantitative Aptitude • Q64

A can do a certain work in the same time in which B and C together can do it. A and B together can do it in 10 days, and C alone in 15 days. B alone can do 6623\frac{2}{3}% of the same work in

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 40 days.

Let total work = LCM of 10 and 15 = 30 units

Efficiency ;

A + B = 3 units/day

C = 2 units/day

A = B + C

⇒ B + C + B = 3

⇒ 2B + 2 = 3

⇒ B = 0.5 units/day

B does 0.5 units/day ⇒ Time for full work = 30 ÷ 0.5 = 60 days

Time = 23×60=40\frac{2}{3} \times 60 = 40 days