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Question 2

A car is slowly driven in a road full of fog. The car passes a man who was walking at the rate of 3 km an hour in the same direction. He could see the car for 4 minutes and was visible for up to a distance of 100 meters. The speed of the car is (in km per hours)

The car remains visible over a total relative distance of 100 m for 4 minutes, so the relative speed between car and man is $$\frac{0.1}{4/60} = 1.5$$ km/hr. Since they move in the same direction, the car's actual speed is the man's speed plus this relative speed: $$3 + 1.5 = 4.5$$ km/hr.

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