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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
    Two superfast trains P and Q start from stations A and B towards B and A respectively. After passing each other, they take 4 h 48 min and 3 h 20 min to reach B and A, respectively. If the train P is moving at 45 km/h, then find the speed of train Q.

    A)  56 km/h                       

    B)  64.8 km/h

    C)  37.5 km/h                    

    D)  54 km/h

    Correct Answer: D

    Solution :

    \[\frac{\text{P }\!\!'\!\!\text{ s}\,\,\text{rate}}{\text{Q }\!\!'\!\!\text{ s}\,\,\text{rate}}=\sqrt{\frac{\text{Time}\,\,\text{taken}\,\,\text{by}\,\,\text{Q}\,\,\text{to}\,\,\text{reach}\,\,\text{A}}{\text{Time}\,\,\text{taken}\,\,\text{by}\,\,\text{P}\,\,\text{to}\,\,\text{reach}\,\,\text{B}}}\] \[\Rightarrow \]\[\frac{\text{45}}{\text{Q }\!\!'\!\!\text{ s}\,\,\text{rate}}=\sqrt{\frac{10}{3}\times \frac{5}{24}}=\sqrt{\frac{25}{36}}=\frac{5}{6}\] \[\therefore \]\[\text{Q }\!\!'\!\!\text{ s}\,\,\text{rate}=\left[ \frac{45\times 6}{5} \right]\,\,km/h=54\,\,km/h\]


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