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SSC Selection Post 2022 PYQ — Question 63

SSC Selection Post - Matriculation Level 2022 - 9 Feb 2022 - Shift 1 • Quantitative Aptitude • Q63

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Two trains, A and B, start at uniform speeds, simultaneously from two stations, P and Q, respectively, towards each other. After crossing each other. A takes 20 hours to reach Q, and B takes 5 hours to reach P. If train A is moving at a speed of 55 km/h, the speed of B (in km/h) is:

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 110.

Speed of A(SA)/Speed of B(SB) = √(Time taken by B after crossing)/Time taken by A after crossing

⇒ 55SB=520{55\over S_B}=\sqrt{5\over20}

⇒ 55SB=14{55\over S_B}={1\over4}

⇒ SB = 55 × 4 = 110 km/h