Multiple Choice Questions on The distance between two places A and B is 570 kms A train starts from A at 50 kmph at 6 am and anot........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The distance between two places A and B is 570 kms A train starts from A at 50 kmph at 6 am and anot...........

Quantitative Aptitude ( CCS) Time & distance
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    The distance between two places A and B is 570 kms. A train starts from A at 50 kmph at 6 am and another starts from B at 80 kmph at 7 am towards each other. At what time will they meet?

    11pm

    Incorrect Answer

    10.30am

    Incorrect Answer

    11am

    Correct Answer

    10.30pm

    Incorrect Answer
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    Explanation:

    Let the two trains meet at a distance x km from place A

    Time required by the train starting from A to cover x is x/50 hr
    Time taken by the other train starting from B to cover (570 - x) km = (570-x)/80
    But the first train has started 1 hr early. So, it has travelled 50 km in this 1 hr.
    Therefore, x/50 - 1= (570-x)/80
    On Solving, x = 250
    So, they will meet at a distance of 250 km from place A
    So the time at which they will meet will be (250/50) = 5 hrs (after 6 am)
    They will meet at 11 am.
    Hence, option 3 is the correct answer.

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