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Railways Quantitative Aptitude Speed, Time and Distance Question Bank Time, Speed and distance Sample Test Paper-12

  • question_answer
    A man travelled from the village to post office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hr 48 min, then the distance of post office from the village is

    A)  20 km 

    B)  22 km

    C)  28 km 

    D)  28.5 km

    Correct Answer: A

    Solution :

    [a] Let time taken from village to post office (one Side) = t hrs. Time taken for whole journey = 5 hrs. 48 min \[=5\,hr\frac{48}{60}hr=5\frac{4}{5}hrs.\] Now, \[25\times t=4\left( 5\frac{4}{5}-t \right)\] \[\Rightarrow \] \[25t=\frac{29\times 4}{5}-4t\Rightarrow 29t=\frac{29\times 4}{5}\] \[\Rightarrow \] \[t=\frac{4}{5}hrs\] \[\therefore \] \[\text{Distance}=25\times \frac{4}{5}=20\,\,km\]


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