### Solution for Question 8:
To determine the distance each car has covered, we first need to convert the given distances into a uniform unit, then round to the nearest kilometre.
1. Distance covered by Mercedes:
- Distance in kilometres: 92 km
- Additional distance in metres: 384 m
Convert the entire distance into metres:
[tex]\[
\text{Total distance in metres} = 92 \times 1000 + 384 = 92000 + 384 = 92384 \text{ m}
\][/tex]
Now, convert the distance back into kilometres:
[tex]\[
\text{Distance in kilometres} = \frac{92384}{1000} = 92.384 \text{ km}
\][/tex]
Round this value to the nearest kilometre:
[tex]\[
92.384 \approx 92 \text{ km}
\][/tex]
2. Distance covered by BMW:
- Distance in kilometres: 88 km
- Additional distance in metres: 508 m
Convert the entire distance into metres:
[tex]\[
\text{Total distance in metres} = 88 \times 1000 + 508 = 88000 + 508 = 88508 \text{ m}
\][/tex]
Now, convert the distance back into kilometres:
[tex]\[
\text{Distance in kilometres} = \frac{88508}{1000} = 88.508 \text{ km}
\][/tex]
Round this value to the nearest kilometre:
[tex]\[
88.508 \approx 89 \text{ km}
\][/tex]
So, the distances covered to the nearest kilometre are:
- Mercedes: 92 km
- BMW: 89 km
### Solution for Question 9:
To find the total length of the rope, we know that [tex]\(\frac{1}{5}\)[/tex] of the rope equals 120 cm. Therefore, the entire rope length can be calculated as follows:
Given:
[tex]\[
\frac{1}{5} \text{ of rope} = 120 \text{ cm}
\][/tex]
To find the total length of the rope ([tex]\(L\)[/tex]):
[tex]\[
L = 5 \times 120 \text{ cm} = 600 \text{ cm}
\][/tex]
So, the total length of the rope is:
[tex]\[
600 \text{ cm}
\][/tex]
