To work out the average speed of Miss Charles, we need to use the formula for average speed, which is given by:
[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \][/tex]
In this problem, the total distance covered by Miss Charles is 450 metres and the total time taken is 100 seconds.
Step-by-Step:
1. Identify the total distance [tex]\( d \)[/tex]:
[tex]\[ d = 450 \text{ metres} \][/tex]
2. Identify the total time [tex]\( t \)[/tex]:
[tex]\[ t = 100 \text{ seconds} \][/tex]
3. Apply the formula for average speed:
[tex]\[ \text{Average Speed} = \frac{d}{t} \][/tex]
4. Substitute the known values into the formula:
[tex]\[ \text{Average Speed} = \frac{450 \text{ metres}}{100 \text{ seconds}} \][/tex]
5. Simplify the fraction:
[tex]\[ \text{Average Speed} = 4.5 \text{ metres per second} \][/tex]
So, the average speed of Miss Charles is [tex]\( 4.5 \)[/tex] metres per second.