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SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    A moving train, 66 m long, overtakes another train of 88 m long, moving in the same direction in 0.168 min. If the second train is moving at 30 km/h, at what speed is the first train moving?

    A) 8 5 km/h

    B)  50 km/h

    C)  55 km/h

    D)  25 km/h

    Correct Answer: A

    Solution :

    Suppose the speed of first train \[=x\,\,\text{km/h}\] Speed of second train \[=30\,\,\text{km/h}\] \[=\frac{30\times 1000}{60}=500\,\,\text{m/min}\text{.}\] \[\therefore \] According to the question, \[\frac{(66+88)}{x-500}=0.168\]             \[\Rightarrow \]   \[\frac{154}{x-500}=0.168\] \[\Rightarrow \]   \[0.168x-84=154\] \[\Rightarrow \]   \[0.168x=238\] \[\Rightarrow \]   \[x=\frac{238}{0.168}=\left( \frac{238\times 1000}{168} \right)\text{m/min}\] \[=\frac{238\times 1000}{168}\times \frac{3}{50}\text{km/h}\] \[=85\,\,\text{km/h}\]


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