A and B start moving towards from point X and Y respectively. After they meet they take 1 hour 52 minutes and 2 hours 55 minutes respectively to reach at point Y and point X. If the speed of A is 24 Km/h. Find the distance between point X and Y?(Approx)

When two persons start from opposite points and meet, the ratio of their speeds equals the ratio of times they take to complete the remaining journey after meeting. Speed_A/Speed_B = Time_B/Time_A. Converting times: 1 hr 52 min = 112 min, 2 hr 55 min = 175 min. So Speed_A/Speed_B = 175/112 = 25/16. Given Speed_A = 24 km/h, Speed_B = 24 × 16/25 = 15.36 km/h. Using the meeting time formula: Time to meet = √(Time_A × Time_B) = √(112 × 175) = √19600 = 140 min = 7/3 hours. Distance = (Speed_A + Speed_B) × Time_to_meet = (24 + 15.36) × 7/3 ≈ 100.8 km.