Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simon and his track team ran on the Heron Peak running trail yesterday after school. The team ran 22 miles due west from the parking lot to a bench. They turned at the bench to run 1.51.5 miles due north toward an outhouse. To finish the run, the team ran a straight line from the outhouse back to the parking lot. If Simon ran at a constant rate of 88 miles per hour, how long did it take Simon to finish the run?\newlineIf necessary, round your answer to the nearest tenth.\newline____ minutes\newline

Full solution

Q. Simon and his track team ran on the Heron Peak running trail yesterday after school. The team ran 22 miles due west from the parking lot to a bench. They turned at the bench to run 1.51.5 miles due north toward an outhouse. To finish the run, the team ran a straight line from the outhouse back to the parking lot. If Simon ran at a constant rate of 88 miles per hour, how long did it take Simon to finish the run?\newlineIf necessary, round your answer to the nearest tenth.\newline____ minutes\newline
  1. Calculate Total Distance: Calculate the total distance Simon ran. Simon ran 22 miles west, then 11.55 miles north. To find the distance back to the parking lot, use the Pythagorean theorem: 22+1.52 \sqrt{2^2 + 1.5^2} .
  2. Add All Distances: Add all distances to find the total distance ran.
  3. Calculate Time Taken: Calculate the time it took Simon to run the total distance at a speed of 88 miles per hour. Use the formula Time=DistanceSpeed \text{Time} = \frac{\text{Distance}}{\text{Speed}} .
  4. Convert Time to Minutes: Convert the time from hours to minutes by multiplying by 6060.

More problems from Rate of travel: word problems