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Juan lives in Oregon near some great scenery, including Waldo Lake, which has a

ID: 3198728 • Letter: J

Question

Juan lives in Oregon near some great scenery, including Waldo Lake, which has a 20 mile trail that goes around it. Juan used to spend 40 minutes per day jogging, and he covered a distance equivalent to a full loop around Waldo Lake 73 times during the year (not a leap year). a) What is his average speed in miles per hour? Juan now spends 45 minutes per day jogging and has increased his speed by 1 mile per hour. How many times would he now be able to run around the Waldo Lake loop in a non-leap year? Round your answer to the nearest tenth b)

Explanation / Answer

a) Total time spent in running = 40 mins x 365 days = 14600 mins = 243.33 hours

Total distance he ran in one year = 20 miles x 73 = 1460 miles

Average speed = Total distance / total time = 1460 / 243.33 = 6 miles/ hour

Ans: His average speed is 6 miles/hour.

b) If he increases his speed by 1 miles per hour:

Total time he jogs in 1 years = 45 x 365 = 16425 mins = 273.75 hours

Total distance he travels in 1 year = speed x time = 273.75 x 7 = 1916.25 miles

Number of times he will be able to run around the Waldo Lake loop = 1916.25 / 20= 95.8125 rounds = 96 rounds

Ans : 96 rounds