Jensen stopped at A and planned to stop at B next. He has a map with a scale of 1 inch to 35 miles.
It is clear that 1 inch on map corresponds to 35 miles in actual.
From the map he has, we can see that both places A and B are 2.5 inches apart on map.
Let's assume those are "X" miles away in actual. Then we can use proportions to solve this problem.
1 inch to 35 miles would be same as 2.5 inches to X miles. Mathematically, we can write it as follows :-
[tex] \frac{1 \;inch}{35 \;miles} =\frac{2.5 \;inches}{X \;miles} \\\\
\frac{X \;miles}{35 \;miles} =\frac{2.5 \;inches}{1 \; inch} \\\\
\frac{X}{35} =\frac{2.5}{1} \\\\
Cross \;\;multiplying \\\\
X = 35*2.5=87.5 \;miles [/tex]
Hence, actual distance between A and B is 87.5 miles.
