2025 · Q58
A train starts from station A at 9 AM and reaches station B at 2 PM. Another train starts from station B at 11 AM and reaches station A at 3 PM. On their way, they meet at a point P. The distances from station A to P and from station B to P bear the ratio:
General Mental Ability, Quantitative Aptitude and StatisticsTime, speed and distance
- A1:2
- B2:1
- C2:3
- D3:2
Explanation
Train 1's speed is D/5 (5 hours) and train 2's is D/4 (4 hours), where D is the A-B distance. They meet t hours after 9 AM: (D/5).t + (D/4).(t-2) = D, giving t = 10/3 hours. Distance AP = D.t/5 = 2D/3 and BP = D/3, so AP:BP = 2:1.