Question

A race track is in the shape of a rectangle with length of 80 metres and area of 4500 m2. 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 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.

Q: Answer-A race track is in the shape of a rectangle with length of 80 metres and area of 4500 m2. A car take...

Area of the track length of track x breadth of track 80 x breadth of track 4500 So, breadth of track 4500 80 56.25 So, perimeter of the track 80 56.25 x 2 272.5 metres So, speed of the car 272.510 27.25 ms Relative speed of the car with respect to the person 27.25 5 32.25 ms So, distance between the car and the person, 3 seconds before they cross each other 32.25 x 3 96.75 metres