Question
On weekdays, a shuttle boat based in Harbor Point ferries passengers between Harbor Point and Cityport, 15 km directly across the river. On weekends, after picking up passengers in Cityport, it makes a second stop in Northtown, 8 km directly north of Cityport. It then returns directly to Harbor Point, completing the distance around the triangle.
The distance the boat travels from Harbor Point to Cityport and back is how many km?
The distance between Northtown and Harbor Point, labeled c, is how many km?
The boat travels an additional how many km on weekdays?
The distance the boat travels from Harbor Point to Cityport and back is how many km?
The distance between Northtown and Harbor Point, labeled c, is how many km?
The boat travels an additional how many km on weekdays?
Answers
GPT 3.5
From Harbor Point to Cityport and back, the boat travels a total of 30 km (15 km each way).
The distance between Northtown and Harbor Point (c) can be calculated using the Pythagorean theorem since we have a right triangle. Therefore, c^2 = 15^2 + 8^2 = 225 + 64 = 289. Taking the square root of 289, we find that c = 17 km.
On weekdays, the boat travels an additional 15 km compared to its weekend route. This additional distance is due to the fact that it only travels between Harbor Point and Cityport on weekdays.
The distance between Northtown and Harbor Point (c) can be calculated using the Pythagorean theorem since we have a right triangle. Therefore, c^2 = 15^2 + 8^2 = 225 + 64 = 289. Taking the square root of 289, we find that c = 17 km.
On weekdays, the boat travels an additional 15 km compared to its weekend route. This additional distance is due to the fact that it only travels between Harbor Point and Cityport on weekdays.