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SSC CGL 2020 PYQ — Question 13

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q13

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A and B start moving from places X and Y and Y to X, respectively, at the same time on the same day. After crossing each other, A and B takes 549\frac{4}{9}hours and 9 hours, respectively, to reach their respective destinations. If the speed of A is 33 km/h, then the speed (in km/h) of B is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 2523\frac{2}{3}.

We know that,

⇒ SASB=tBtA\frac{S_A}{S_B} = \sqrt{\frac{t_B}{t_A}}

⇒ 33SB=9499\frac{33}{S_B} = \sqrt{\frac{9}{\frac{49}{9}}}

⇒ 33SB=97\frac{33}{S_B} = \frac{9}{7}

⇒ SB =  2523\frac{2}{3}.