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The distance between two cities P and Q is 900 km. Car A and Car B can cover the distance between P and Q in X hours and (X + 4) hours respectively. If Car B and Car A start from city P at 6:00 am and 8:00 am respectively and both cars meet at 10:30 am, then find the distance between P and the point where both cars meet.

1. 425 km
2. 475 km
3. 450 km
4. 470 km

Correct answer: 450 km

Solution

Car B travels for 4.5 hours and Car A travels for 2.5 hours before meeting. Using the given relation between their travel times for 900 km, their speeds work out so that the meeting point is 450 km from P.

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