Question

Kristin has to pick up her children, who all attend different schools. She is at home (H) and needs to go to children First Pre-School (C), Braden Rivera Elementary (B) and stephen middle school (S). Kristin estimates the distance among these locations as follows. H to C is 5 miles. H to B is 8 miles. H to S is 15 miles. C to B is 11 miles, C to S is 17 and B to S is 10 miles..What is the minimum distance Kristin can travel?

Answer 1

In order to find the minimum distance, first let's write a map with all positions and distances:

Now, let's write the total distance for the paths she can choose:

`\begin{gathered} HBCS=8+11+17=36 \\ HBSC=8+10+17=35 \\ HCBS=5+11+10=26 \\ HCSB=5+17+10=32 \\ HSBC=15+10+11=36 \\ HSCB=15+17+11=43 \end{gathered}`

Therefore the minimum distance is 26 miles.