📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      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

      Practice Next
      More Mensuration Questions
      ask-question