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Trains P and Q: front ends 539 km apart. Same time, toward each other, cross after 200 min. Length ratio P:Q=3:2. Speed P=90 km/h, Q=72 km/h. Find difference of lengths.

1. 50 m
2. 250 m
3. 100 m
4. 200 m

Correct answer: 200 m

Solution

Combined speed=90+72=162 km/h. Time=200/60 h. Distance=162×200/60=540 km. 540=539+(L_P+L_Q) → L_P+L_Q=1 km=1000m. Ratio 3:2: L_P=600m, L_Q=400m. Difference=200m.

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