Andre is cycling from his house to

the coffee shop. His house and the
coffee shop are both 2 miles
from the town square. The bike
path starts on Main Street, halfway
between Andre’s house and the
town square. The path ends on
North Street, __
3
4 of the way from the
town square to the coffee shop.
Andre rides at an average rate of
15 miles per hour. To the nearest
minute, how much time will he
save if he takes the bike path
instead of riding through the town
square?

1 answer

To solve this problem, we need to first calculate the distance that Andre saves by taking the bike path instead of riding through the town square.

The distance between Andre's house and the town square is 2 miles, so the distance from the bike path's starting point to Andre's house is also 2 miles. Similarly, the distance between the coffee shop and the town square is also 2 miles, so the distance from the bike path's end point to the coffee shop is (3/4) x 2 = 1.5 miles.

Therefore, by taking the bike path, Andre saves 2 + 1.5 = 3.5 miles.

Next, we can calculate the time it takes for Andre to ride this distance at 15 miles per hour:

time = distance / rate = 3.5 / 15 = 0.2333 hours

To convert this to minutes, we multiply by 60:

time = 0.2333 x 60 ≈ 14 minutes

Therefore, Andre will save approximately 14 minutes by taking the bike path instead of riding through the town square.