Multiple choice

What is the distance between A and B? Statements: I. Two persons Aman and Sangram started simultaneously from A to B with their speed in ratio 4:5. II. Sangram reached B one hour earlier than Aman. III. Difference between speed of Aman and Sangram is 60 km/hr.

  1. Only I and II

  2. Only II and III

  3. All I, II and III

  4. Cannot be answered even including all three statements

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speeds be 4x and 5x km/hr. From III: 5x - 4x = 60, so x = 60. Speeds: 240 km/hr, 300 km/hr. From II: Time difference = 1 hr. If distance = D, then D/240 - D/300 = 1. D(1/240 - 1/300) = 1. D(60/72000) = 1, so D = 1200 km. All three statements are needed. Statement II and III alone don't give initial speed ratio. Statement I and II alone give relationship but not actual values.