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SSC CGL 2023 PYQ — Question 59

SSC CGL - 14 July 2023 - Shift 4 • Quantitative Aptitude • Q59

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Pipe A can fill an empty tank in 18 hours and pipe B can fill the same empty tank in 24 hours. If both pipes are opened simultaneously, how much time (in hours) will they take to fill the empty tank?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 102710\frac{2}{7}

Given:

Pipe A can fill an empty tank in 18 hours

Pipe B can fill the same empty tank in 24 hours

Concept Used:

Total work = Efficincy × Time

Explanation:

Let the total capacity of the tank be LCM (18, 24) = 72

The efficiency of pipe A to fill the empty tank = 72/18 = 4

The efficiency of pipe B to fill the empty tank = 72/24 = 3

Hence, Both pipes together fill the empty tank in = 72/(4 + 3) = 72/7 = 102710\frac{2}{7}