Answer :
Sure, let's break down this problem step-by-step.
1. Convert the distance from kilometers to meters:
- We know that 1 kilometer equals 1000 meters.
- Therefore, a distance of 6 kilometers is:
[tex]\[ 6 \text{ km} \times 1000 \text{ meters/km} = 6000 \text{ meters} \][/tex]
2. Convert the time from minutes to seconds:
- We know that 1 minute equals 60 seconds.
- Therefore, a time of 10 minutes is:
[tex]\[ 10 \text{ minutes} \times 60 \text{ seconds/minute} = 600 \text{ seconds} \][/tex]
3. Calculate the speed of the bus in meters per second:
- Speed is defined as distance traveled divided by the time taken.
- Therefore, the speed of the bus is:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{6000 \text{ meters}}{600 \text{ seconds}} = 10 \text{ meters/second} \][/tex]
4. Determine the distance traveled by the bus in 1 second:
- If the speed of the bus is 10 meters per second, then in 1 second, the bus travels:
[tex]\[ \text{Distance in 1 second} = 10 \text{ meters/second} \times 1 \text{ second} = 10 \text{ meters} \][/tex]
So, the bus travels a distance of 10 meters in 1 second.
1. Convert the distance from kilometers to meters:
- We know that 1 kilometer equals 1000 meters.
- Therefore, a distance of 6 kilometers is:
[tex]\[ 6 \text{ km} \times 1000 \text{ meters/km} = 6000 \text{ meters} \][/tex]
2. Convert the time from minutes to seconds:
- We know that 1 minute equals 60 seconds.
- Therefore, a time of 10 minutes is:
[tex]\[ 10 \text{ minutes} \times 60 \text{ seconds/minute} = 600 \text{ seconds} \][/tex]
3. Calculate the speed of the bus in meters per second:
- Speed is defined as distance traveled divided by the time taken.
- Therefore, the speed of the bus is:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{6000 \text{ meters}}{600 \text{ seconds}} = 10 \text{ meters/second} \][/tex]
4. Determine the distance traveled by the bus in 1 second:
- If the speed of the bus is 10 meters per second, then in 1 second, the bus travels:
[tex]\[ \text{Distance in 1 second} = 10 \text{ meters/second} \times 1 \text{ second} = 10 \text{ meters} \][/tex]
So, the bus travels a distance of 10 meters in 1 second.
