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    Question

    Two trains start at the same time from Patna and Delhi

    and proceed toward each other at the speed of 120 km/hr and 60 km/hr respectively. When they meet, it is found that one train has travelled 600 km more than the other. Find the distance between Patna and Delhi.
    A 2,300 km Correct Answer Incorrect Answer
    B 1,800 km Correct Answer Incorrect Answer
    C 1,300 km Correct Answer Incorrect Answer
    D Cannot be determined Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Difference between speed of train from Patna (P) and that of Delhi (D) = 60 km/hr That means P runs 60 km more than D in 1 hour. Therefore, P must have run 600km more than D in 10 hrs. That means both the trains have run for 10 hrs, when they met. Distance covered by P in 10 hrs = Speed × Time = 120 × 10=1200 km. Distance covered by D in 10 hrs = Speed x Time = 60 × 10= 600 km. ∴ Total Distance between Patna and Delhi = 1200 + 600 = 1800 km.

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