Multiple choice

From point H, at 6:30 pm, a train starts moving towards point K at the speed of 90 km/hr. Another train starts moving from point K at 7:30 p.m. towards point H at the speed of 72 km/hr. Both the train meet at 11:30 p.m. at point J. What is the ratio of the distance HJ and KJ ?

  1. $25 : 16$
  2. $5 : 16$
  3. $36 : 25$
  4. $31 : 19$
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A Correct answer
Explanation

Train from H runs for 5 hours (6:30pm to 11:30pm) at 90 km/hr = 450 km. Train from K runs for 4 hours (7:30pm to 11:30pm) at 72 km/hr = 288 km. Ratio HJ:KJ = 450:288 = 25:16 after dividing by 18. Option B reverses the ratio. Options C and D don't match the calculation.

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