Distance Calculation: Square Park Perimeter
The question requires finding the time taken by Ramesh to run around a square park. The first step is to calculate the total distance covered in one round.
- Park Shape: Square
- Given Edge Length: 50 metres
- The distance covered in one round is the perimeter of the square.
- Perimeter Formula: $ \text{Perimeter} = 4 \times \text{edge length} $
- Calculation: $ \text{Distance} = 4 \times 50 \text{ m} = 200 \text{ m} $
Speed Conversion: km/hr to m/s
Ramesh's speed is given in kilometres per hour (km/hr). To calculate the time in seconds, we must convert the speed to metres per second (m/s).
- Given Speed: 18 km/hr
- Conversion Factor: $ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} $
- Speed Calculation: $ \text{Speed} = 18 \text{ km/hr} \times \frac{5}{18} \frac{\text{m/s}}{\text{km/hr}} = 5 \text{ m/s} $
Time Calculation: Distance over Speed
Using the calculated distance and converted speed, we can find the time taken.
- Distance: 200 m
- Speed: 5 m/s
- Time Formula: $ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $
- Calculation: $ \text{Time} = \frac{200 \text{ m}}{5 \text{ m/s}} = 40 \text{ s} $
Final Answer
Ramesh will take 40 seconds to run round the square park.
Similar Questions
- A man driving a car at a speed of 79 km/hr crosses a bridge in 3.6 minutes. Find the length of the bridge.
- Rohan can travel from Delhi to Kanyakumari in 30 h. If he reduces his speed by $\frac{1}{15}$th, he goes 10 km less in the same time. Find the speed.
- How many poles will be covered by a train in 4 hours if the train is running at a speed of 45 km/hr, given that the poles on the railway track are 50 m apart and the train crosses a pole at the beginning of its journey.
- The speeds of three trains are in the ratio of 2 : 3 : 5. The amount of time taken by these trains to travel the same distance is in the ratio of:
- Two persons A and B start a journey from the same point at the speeds of 3 km/h and 4 km/h respectively. If they move in the same direction, then what will be the distance between them after 6 h?
- Train A leaves station M at 6:25 AM and reaches station N at 3:25 PM on the same day. Train B leaves station N at 8:25 AM and reaches station M at 2:25 PM on the same day. Find the time when trains A and B meet.
- If a train runs at an average speed of 42 km/h, then it covers a certain distance in 45 min. What is the speed at which the train must run to reduce the time of the same journey to 35 min?
- The speeds of three cars are in the ratio of 2 : 3 : 4. The ratio of respective time taken by these cars to travel the same distance is:
- Two women walk from a place at the speeds of 6 km/h and 8 km/h respectively. First woman takes 40 min more than the second one to cover the distance. Find the distance.
- The earth takes 24 h to rotate about its own axis. Through what angle will it turn in 5 h and 24 min?
Important Questions from Speed Time and Distance
A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.
Rohit and Dinesh are 64 km apart. Rohit can walk at a speed of 15 km/hr and Dinesh at the speed of 17 km/hr. In how many hours will they meet if they are travelling towards each other?
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:
A worker covers a distance of 81 km in 11 hours. He travels partly on foot at 4.5 km/h and partly on bicycle at 15 km/h. What is the distance covered on the cycle?
