Calculating Distance Covered by a Bus at 45 km/h in Different Time Intervals

When trying to understand how far a bus traveling at a certain speed can cover in a specific period, it's essential to understand the relationship between speed, time, and distance. In this article, we will explore how to calculate the distance a bus traveling at 45 km/h covers in various time intervals, such as 18 seconds and 36 seconds, using conversion and calculation methods.

1. Calculation for 18 seconds

First, we need to convert the speed from kilometers per hour (km/h) to kilometers per second (km/s) since the time is provided in seconds. The speed of the bus is 45 km/h. The conversion can be done as follows:

Convert speed:

45 km/h (45 km) / (3600 s) 0.0125 km/s

Calculate distance:

Distance Speed times; Time Distance 0.0125 km/s times; 18 s 0.225 km

Alternatively, converting the distance to meters:

0.225 km 225 meters

Therefore, the bus covers 225 meters in 18 seconds.

2. Calculation for 36 seconds

For a more in-depth calculation, let's consider the speed in meters per second (m/s). This will provide us with a better understanding of the bus's speed and distance covered in 36 seconds.

1 km/hr 1000 / 3600 5/18 m/s 45 km/hr (45 times; 5/18) m/s 25/2 m/s 12.5 m/s

Using the formula to calculate distance:

Distance Speed times; Time Distance 12.5 m/s times; 36 s 450 meters

Therefore, the bus covers 450 meters in 36 seconds.

3. Additional Calculations and Notes

It's important to note that the time intervals provided can vary based on traffic, road conditions, and the bus's current state of motion. In real-world scenarios, the bus might not cover the full distance right after starting from a standstill due to the time needed to accelerate. However, for the purposes of this exercise, we can use the given formulas to calculate the exact distance.

For instance:

1/6 of a kilometre (km) in 15 seconds can be figured out by:

15 seconds is 1/4 of a minute (15 / 60 1/4), and a kilometre (1 km) is covered in 6 minutes (15 times; 4 60), hence 1/6 of a kilometre in 15 seconds.

For a more detailed calculation, if the speed is 40 km/hr for 15 seconds, the process can be simplified:

40 km/hr (40 km) / (60 min) (2/3) km/min 15 seconds 1/4 min (15 / 60 1/4) Distance Speed times; Time Distance (2/3 km/min) times; (1/4 min) 1/6 km

However, in a real-world scenario, the bus would be accelerating, and the distance covered in those 15 seconds would be 0 meters or negligible since it would take time to start the bus and get it moving.

Conclusion

Understanding the relationship between speed, time, and distance is crucial for both theoretical and practical applications, such as traffic management or planning bus routes. By using the appropriate formulas and conversions, we can accurately calculate the distances covered by a bus at a given speed over different periods.