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Andrew started at home. For the first 15 minutes he traveled at a constant speed and traveled a total of 4 miles.
For the next 10 minutes Andrew rested.
Andrew then rode his bike home which took 20 minutes.
What was Andrew's average speed on his way home? (Note that speed cannot be negative.)
Andrew's speed was
miles per minute.
To find Andrew's average speed on his way home, we need to calculate the total distance he traveled and the total time it took him.
Andrew traveled 4 miles in the first 15 minutes, so his speed during that time was 4 miles / 15 minutes = 0.2667 miles per minute.
After resting for 10 minutes, Andrew then rode his bike home, which took 20 minutes. So, he traveled 4 miles in 15 minutes, rested for 10 minutes, then traveled the same 4 miles in 20 minutes, for a total of 15 + 10 + 20 = 45 minutes.
Therefore, Andrew's average speed on his way home was total distance / total time = 4 miles / 45 minutes = 0.0889 miles per minute.
So, Andrew's average speed on his way home was 0.0889 miles per minute.