how much time taken by a car driver to take four rounds of rectangular garden whose length is 200m and breadth is 100m. The speed of the car is 10m/s?
Answers
Answer:
The answer is={4×2(l+b)}÷speed={4×2×(200+100)}÷10=(4×2×300)÷10=2400÷10=240 sec = 4 min = (1/15) hr
Answer- The above question is from the chapter 'Motion'.
Concepts used: Perimeter of a rectangle = 2 (length + breadth)
Speed = Distance/ Time
Question: How much time taken by a car driver to take four rounds of rectangular garden whose length is 200 m and breadth is 100 m? The speed of the car is 10 m/s.
Solution: Length of rectangular garden (l) = 200 m
Breadth of rectangular garden (b) = 100 m
The driver is taking rounds of rectangular garden i.e. the distance covered by driver is four times the perimeter of the garden.
Perimeter of rectangular garden = 2(l+b) = 2 (200 + 100) = 2 (300) = 600 m
Total distance covered = 4 × 600 = 2400 m
Now, distance = 2400 m
Speed of car = 10 m/s
Time = ?
Speed = Distance / Time
⇒ Time = Distance/ Speed
Time= 2400 / 10
Time = 240 seconds or 4 minutes.
∴ Car driver will take 4 minutes to take four rounds of rectangular garden.