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SSC MTS 2022 PYQ — Question 68

SSC MTS - 26 July 2022 - Shift 3 • Quantitative Aptitude • Q68

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A train can completely cross a 1000-meter long bridge in 15 seconds. It can completely cross another 1300-meter long bridge in 19 seconds. What is the length of the train?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 125 metres

Let the length of the train be x metres- 

So,

Case 1 -

Speed of the train = 1000+x15\frac{1000+x}{15}

Case 2 -

Speed of the train = 1300+x19\frac{1300+x}{19}

On equating both - 

1000+x15=1300+x19\frac{1000+x}{15}=\frac{1300+x}{19}

19(1000 + x) = 15(1300 + x)

19000 + 19x = 19500 + 15x

4x = 500

x = 500÷4 = 125

Hence, 

The length of the train is 125 metres.