Question

Fred is planning a fundraiser where he will collect $4.50 for every mile he runs. He will be running on a typical track, that has two straight lengths of 300 feet each, and two curved parts that are in the shape of semicircles with 200 foot diameters.

He runs around the track exactly 15 times. To the nearest cent, how much money did he collect?

Answer 1

Amount collected = $23.62

Step-by-step explanation:

Given: $4.50 per mile.

Track has two straight lengths of 300 feet each and two curved paths that are in the shape of semicircles with 200 foot diameters. He runs 15 times.

Find: How much money did he collect?

Solution: Length of track = 2 * 300 feet + 2 * 1/2 circumference of circle with diameter 200 feet

  = 600 + 2 * 22/ 7 * 200

  = 600 + 1257.14

  = 1857.14 feet.

Converting to mile:1 foot = 0.000189394 mile.

So 1857.14 feet = 1857.14 * 0.000189394 = 0.35 miles

Total distance covered = 15 * 0.35 = 5.25 miles.

Amount collected = 4.50 * 5.25 = $23.62