Grades 11 & 12 5-Star Challenge #5
A particular city's roads form a grid. The Avenues run North-South and the Streets run East-West. The Avenues and Streets are named numerically and they are in numerical order. How many distinct shortest routes exist between the corner of 3rd Avenue and 12th Street and the corner of 8th Avenue and 5th Street?
Grades 9 & 10 5-Star Challenge #5
A Woodstock student on a camping trip notices that his tent is on fire. At the moment he notices the fire, he is holding an empty bucket and standing only 10 meters away from a river (whose banks are parallel lines). The tent is 30 meters from the river and the student is 60 meters from the tent. The student and the tent are on the same side of the river. The student needs to fill the bucket with water from the river and go to the tent to fight the fire. What is the length of the shortest path to the tent via the river?