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    Question

    In each of the following questions, a question is followed by two or three statement. Read all the statements and find that which statements are required to answer the question and answer accordingly.

    How much time will Bus A take to cross Bus B (from the

    moment they meet) running in opposite directions (towards each other)? I: The respective ratio of speeds of Bus A and Bus B is 9 : 5. The sum of the lengths of Bus A and Bus B is 1400 metre. II: Bus A can cross a signal pole in 15 seconds. It can cross 750 metre long stand in 20 seconds.
    A Only I Correct Answer Incorrect Answer
    B Both I and II Correct Answer Incorrect Answer
    C Only II Correct Answer Incorrect Answer
    D Neither I nor II Correct Answer Incorrect Answer

    Solution

    From statement I: Relative speed = 9x + 5x = 14x units Sum of Length of buses = 1400 metre Required time = 1400/(14 x) = no result From statement II: Let length of bus A = y Speed of Bus A = y/15 = (y + 750 )/20 ⇒ 20 y = 15 y + 11250 ⇒ 5 y = 11250 ⇒ y = 2,250 = length of bus A Now we can’t find answer by only one statement & if we use both, it will contradict each other because in 1st statement, sum of length of two buses is 1400 & in 2nd statement, length of bus A only is 2250 So we cant find answer by even using both statements.

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