CDS 2024 · PYQ · Time, Speed and Distance · medium
Two trains A and B leave Delhi for Hyderabad on the same day at 7:00 a.m. and 7:50 a.m. respectively and travel at 80 kmph and 100 kmph respectively. After how many kilometres from Delhi will both these trains be together?
A.200/3 km
B.100 km
C.400/3 km
D.1000/3 km✓ Correct
Explanation
Train A has a 50-minute = 5/6 hour head start, covering 80 × 5/6 = 200/3 km. Then B chases at relative speed 100 - 80 = 20 kmph. Time to catch up = (200/3)/20 = 10/3 hours. Distance from Delhi where they meet = 100 × 10/3 = 1000/3 km.
💡 Practice unlimited CDS PYQs + AI-tracked progress on each topic. Sign up free →