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SSC Selection Post 2022 PYQ — Question 66

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 1 • Quantitative Aptitude • Q66

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A train crosses a 1000 m long bridge in 52 seconds and another 700 m long bridge in 40 seconds. Assuming the train is running at the uniform speed. What is the speed (in km/h) of the train?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 90.

Let the length of the train be x m.

According to the given question,

1000+x52=700+x40\frac{1000 + x}{52} = \frac{700 + x}{40}

⇒ 10000 + 10x = 9100 + 13x

⇒ 3x = 900

⇒ x = 300 m

Speed of train = (1000 + 300)/52 

⇒ 1300/52 = 25 m/sec

Speed in km/h = 25 × 18/5 = 90 km/h