Math 2017 Question 31
Question 31
The routes from Aaron’s home to his school are shown below.
What is the SHORTEST distance from Aaron’s home to his school?
Answer
9 km 623 m
Explanation
Only Flamingo Ave Route 1 = 4 1/8 km
Along Hibiscus Ave then Flamingo Ave Route 2 = 2 km 75 m + 2 km 48 m
We can ignore the third part of the route since that will be the same distance no matter which route is taken.
Route 2 = 4km 123 m
Convert Route 1 – 4 1/8 KM to KM and meters
1/8 x 1000 = 125 m
Since Route 2 = 4 km and 123 m
and Route 1 = 4 km and 125 m
Route 2 along Hibiscus Ave then Flamingo Ave will be shorter so now add that to 5½ km –
5½ km = 5 km and 500 m
Route 2 Full = 4 km 123 m + 5 km 500 m = 9 km 623 m