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Cars X and Y start 800 km apart at 8 a.m., speed 50 km/hr each. X stops at 9 a.m., restarts 10 a.m. Y continues. When do they cross?

1. 3:30 PM
2. 4:30 PM
3. 2:30 PM
4. 5:00 PM

Correct answer: 4:30 PM

Solution

Phase 1 (8-9 AM): Both move toward each other at 50+50=100 km/h for 1 hr → gap = 800-100 = 700 km. Phase 2 (9-10 AM): X stops, Y moves 50 km → gap = 700-50 = 650 km. Phase 3 (10 AM onward): Both move at combined 100 km/h. Time = 650/100 = 6.5 hours. Meeting time = 10:00 AM + 6.5 h = 4:30 PM.

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