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    Question

    A race track is in the shape of a rectangle with length

    of 30 metres and area of 4500 m2. A car takes 20 seconds to make one lap around the perimeter of this track. If the car and a person whose speed is 5 m/s, started moving at the same time along the perimeter of the track but in opposite directions, then find the distance between the car and the person, 3 seconds before they cross each other.
    A 79 metres Correct Answer Incorrect Answer
    B 49 metres Correct Answer Incorrect Answer
    C 29 metres Correct Answer Incorrect Answer
    D 69 metres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Area of the track = length of track x breadth of track = 30 x breadth of track = 4500 So, breadth of track = 4500 ÷ 30 = 150 So, perimeter of the track = (30 + 150) x 2 = 360 metres So, speed of the car = (360/20) = 18 m/s Relative speed of the car with respect to the person = 18 + 5 = 23 m/s So, distance between the car and the person, 3 seconds before they cross each other = 23 x 3 = 69 metres

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