The chart shows the distances, in miles, between three places.

[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Kendal} & \multicolumn{2}{|c|}{} \\
\cline{1-2}
99 & \text{Chester} & \\
\hline
201 & 95 & \text{Hereford} \\
\hline
\end{array}
\][/tex]

a) Write down the distance from Hereford to Chester.

b) Which town is 99 miles from Kendal?

c) If Ellen drives from Kendal to Hereford via Chester, how many miles will she drive?



Answer :

Certainly! Let's address each part of the question step-by-step.

### a) Write down the distance from Hereford to Chester.
From the chart given, we can see that the distance between Hereford and Chester is directly labeled. Hence, the distance from Hereford to Chester is:
[tex]\[ \text{Distance from Hereford to Chester} = 95 \text{ miles} \][/tex]

### b) Which town is 99 miles from Kendal?
Looking at the chart, we find the distance from Kendal to another town. According to the chart:

[tex]\[ \text{Distance from Kendal to Chester} = 99 \text{ miles} \][/tex]

Hence, the town that is 99 miles from Kendal is Chester.

### c) If Ellen drives from Kendal to Hereford via Chester, how many miles will she drive?
To determine the total distance Ellen will drive if she travels from Kendal to Hereford via Chester, we need to sum up the distances for each leg of her journey.

1. The distance from Kendal to Chester:
[tex]\[ \text{Distance from Kendal to Chester} = 99 \text{ miles} \][/tex]

2. The distance from Chester to Hereford:
[tex]\[ \text{Distance from Chester to Hereford} = 95 \text{ miles} \][/tex]

Now, adding these distances together:
[tex]\[ \text{Total distance Ellen will drive} = (\text{Distance from Kendal to Chester}) + (\text{Distance from Chester to Hereford}) \][/tex]
[tex]\[ \text{Total distance Ellen will drive} = 99 \text{ miles} + 95 \text{ miles} \][/tex]
[tex]\[ \text{Total distance Ellen will drive} = 194 \text{ miles} \][/tex]

### Summary
a) The distance from Hereford to Chester is 95 miles.

b) The town that is 99 miles from Kendal is Chester.

c) If Ellen drives from Kendal to Hereford via Chester, she will drive a total of 194 miles.