Multiple choice

Train A started from station P towards station Q. At the same time, train B started from station R towards station Q. All the three stations are in a straight line such that station Q is between station P and station R. Station Q is equidistant from station P and station R. Distance between station P and station Q is 440 Km. If the speed of train A and train B is ____km/hr. and ___km/hr. respectively, the distance between both the trains after five hours is 580 km. Which of the following satisfies the two blanks given in the question? (I) 28 km/hr., 32 km/hr. (II) 40 km/hr., 20 km/hr. (III) 25 km/hr., 35 km/hr.

  1. None

  2. Only II

  3. Only III

  4. Only I and II

  5. All I, II and III
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Q is between P and R, equidistant: PQ = QR = 440 km. Initial distance between trains = 880 km. After 5 hours, distance = |440 - 5(speed_A + speed_B)|. For distance = 580, speed_A + speed_B = 60. All three pairs sum to 60: (28, 32) = 60 ✓, (40, 20) = 60 ✓, (25, 35) = 60 ✓.

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