Simon and his track team ran on the Heron Peak running trail yesterday after school. The team ran 2 miles due west from the parking lot to a bench. They turned at the bench to run 1.5 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 8 miles per hour, how long did it take Simon to finish the run? If necessary, round your answer to the nearest tenth. ____ minutes

Question

Simon and his track team ran on the Heron Peak running trail yesterday after school. The team ran 2 miles due west from the parking lot to a bench. They turned at the bench to run 1.5 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 8 miles per hour, how long did it take Simon to finish the run? If necessary, round your answer to the nearest tenth.   ____ minutes

Bytelearn · Accepted Answer

Calculate Total Distance:  Calculate the total distance Simon ran. Simon ran 2 miles west, then 1.5 miles north. To find the distance back to the parking lot, use the Pythagorean theorem: $ \sqrt{2^2 + 1.5^2} $. Add All Distances:  Add all distances to find the total distance ran. Calculate Time Taken:  Calculate the time it took Simon to run the total distance at a speed of 8 miles per hour. Use the formula $ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $. Convert Time to Minutes:  Convert the time from hours to minutes by multiplying by 60.

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