Multiple Choice Questions on Indrayani Express leaves Pune for Bombay at 17 30 hrs and reaches Bombay at 21 30 hrs While Shatabdi........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Indrayani Express leaves Pune for Bombay at 17 30 hrs and reaches Bombay at 21 30 hrs While Shatabdi...........

Quantitative Aptitude ( CCS) Time & distance
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    Indrayani Express leaves Pune for Bombay at 17:30 hrs and reaches Bombay at 21:30 hrs. While, Shatabdi, which leaves Bombay at 17:00 hrs reaches Pune at 20:30 hrs. At what time do they pass each other?

    15.30 hrs

    Incorrect Answer

    19.06hrs

    Correct Answer

    21.20 hrs

    Incorrect Answer

    23.05 hrs

    Incorrect Answer
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    Explanation:

    Let the distance between Bombay and Pune = d km

    Indrayani’s Speed =(d/4) kmph and that of Shatabdi = (d/3.5)kmph
    Let t be the time in hrs after Shatabdi has left for Pune, when the two trains meet
    Therefore, distance travelled by Shatabdi = (d/3.5)* t
    And that of Indrayani =(d/4) * (t-30/60)
    The sum of the distances travelled by the two trains = distance between Bombay and Pune = d km
    Therefore, (d/3.5)* t +(d/4) * (t-30/60)=d
    Solving for t, we get t = 2.1 hrs or 2 hrs and 6 mins
    The two trains meet at 19:06 hrs
    Hence, option 2 is the correct answer.

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    Shweta Maini

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