Multiple Choice Questions on Two trains start from P and Q respectively and travel towards each other at a speed of 50 km hour an........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Two trains start from P and Q respectively and travel towards each other at a speed of 50 km hour an...........

Quantitative Aptitude ( CCS) Time & distance
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    Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hour and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is

    500 km

    Incorrect Answer

    630 km

    Incorrect Answer

    660 km

    Incorrect Answer

    900 km

    Correct Answer
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    Explanation:

    Let distance traveled by first train be D  km

    Then distance traveled by second train = (D - 100) km

    Speed of first train = 50 km/hour

    Speed of second train = 40 km/hour

    \text{Time taken by first train = }\frac{50}{D}\\\\\text{Time taken by second train = }\frac{40}{D-100}

    At the meeting point of both the trains the time taken by both the trains will be equal :

    \implies \frac{50}{D}=\frac{40}{D-100}\\\\\implies 50\cdot D-5000=40\cdot D\\\implies D=500

    ⇒ Distance traveled by first train is 500  km

    ⇒ Distance traveled by second train is 400  km

    Distance between P and Q = 500 + 400 = 900 km

    Hence, option 4 is the correct answer.

    By: Amit Kumar
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