GATRA, the Greater Attleboro-Taunton Regional Transit Authority, serves six cities (City 1-City 6). While there are many restrictions (primarily roads on which they may not travel), they do have some choice of routes. The distances between cities, along permitted routes, are presented below.

-What is the shortest route?
A)1-3, 3-5, 5-6
B)1-2, 2-3, 3-4, 4-5, 5-6
C)1-3, 3-4, 4-5, 5-6
D)1-2, 2-3, 3-5, 5-6

Question

GATRA, the Greater Attleboro-Taunton Regional Transit Authority, serves six cities (City 1-City 6) . While there are many restrictions (primarily roads on which they may not travel) , they do have some choice of routes. The distances between cities, along permitted routes, are presented below.

-What is the shortest route?

-What is the shortest route?
A)1-3, 3-5, 5-6 
B)1-2, 2-3, 3-4, 4-5, 5-6 
C)1-3, 3-4, 4-5, 5-6 
D)1-2, 2-3, 3-5, 5-6

Quizplus · Accepted Answer

The shortest route is the route that adds up to the smallest total distance. By adding up the distances for each choice, we can see that Choice C is the shortest: 1-3 (12 miles) + 3-4 (13 miles) + 4-5 (10 miles) + 5-6 (9 miles) = 44 miles. Choice A adds up to 47 miles, Choice B adds up to 52 miles, and Choice D adds up to 46 miles, so none of these are the shortest route. Therefore, the best choice is C as it is the shortest route.

GATRA, the Greater Attleboro-Taunton Regional Transit Authority, Serves Six Cities