Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-29

  • question_answer
    The speed of a train going from Nagpur to Allahabad is 100 km/h. While its speed is 150 km/h, when coming back from Allahabad to Nagpur. Then, the average speed during the whole journey is

    A)  135 km/h         

    B)  128 km /h

    C)  125 km/h         

    D)  140 km/h

    Correct Answer: B

    Solution :

    Let the distance from Nagpur to Allahabad= k km Now, time taken to travel from Nagpur to Allahabad \[=\frac{x}{150}\,\,h\] Also, time taken to travel from Allahabad to Nagpur\[=\frac{x}{150}\,\,h\] \[\therefore \]Average speed Total distance travelled \[\text{Average speed}=\frac{\text{Total}\,\,\text{distance}\,\,\text{travelled}}{\text{Total time taken}}\] \[=\frac{x+x}{\frac{x}{100}+\frac{x}{150}}=\frac{2x}{\frac{3x+2x}{300}}=\frac{2x\times 300}{5x}=120\,\,km/h\]


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