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      Question

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

      moment they meet) running in opposite directions (towards each other)? Statement 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. Statement II: Bus A can cross a signal pole in 15 seconds. It can cross 750 metre long stand in 20 seconds. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:
      A Only I Correct Answer Incorrect Answer
      B Both I and II Correct Answer Incorrect Answer
      C Only II Correct Answer Incorrect Answer
      D Either I or II Correct Answer Incorrect Answer
      E 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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