Question
A racetrack is in the shape of a rectangle with length
of 48 meters and area of 6000 m 2. A car takes 10 seconds to make one lap around the perimeter of this track. If the car and a person whose speed is 5.4 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, 7seconds before they cross each other. type-sscSolution
Area of the track = length of track x breadth of track = 48x breadth of track =6000 So, breadth of track = 6000 ÷ 48 = 125 So, perimeter of the track = (48+ 125) x 2 = 346meters So, speed of the car = (346/10) = 34.6 m/s Relative speed of the car with respect to the person = 34.6+ 5.3 = 40 m/s So, distance between the car and the person, 7 seconds before they cross each other = 40 x 7= 280 meters
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