The bus travels 54 CM in 90 minutes the speed of the bus is
The correct answer and explanation is:
To calculate the speed of the bus, we need to determine how much distance it covers in a unit of time. The problem gives us the distance as 54 cm and the time as 90 minutes.
Step 1: Convert time to hours
Since speed is typically measured in kilometers per hour (km/h), it is helpful to convert the time into hours.
There are 60 minutes in an hour, so: Time in hours=90 minutes60=1.5 hours\text{Time in hours} = \frac{90 \text{ minutes}}{60} = 1.5 \text{ hours}
Step 2: Convert distance to kilometers
Next, we need to convert the distance from centimeters to kilometers. There are 100 centimeters in a meter, and 1000 meters in a kilometer. So, to convert 54 cm to kilometers: Distance in kilometers=54 cm100×1000=0.00054 kilometers\text{Distance in kilometers} = \frac{54 \text{ cm}}{100 \times 1000} = 0.00054 \text{ kilometers}
Step 3: Calculate the speed
Now, we can use the formula for speed: Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}
Substituting the values: Speed=0.00054 kilometers1.5 hours=0.00036 km/h\text{Speed} = \frac{0.00054 \text{ kilometers}}{1.5 \text{ hours}} = 0.00036 \text{ km/h}
Thus, the speed of the bus is approximately 0.00036 km/h.
This result is extremely low, indicating that the bus is moving very slowly. It’s possible that the distance provided in the problem (54 cm) might be incorrect for a typical bus speed problem. Generally, bus travel distances are measured in kilometers or miles, so this might be a typo or an unusual scenario.