The time spent for each activity can be found writing an equation based on
the known parameters.
- The duration of the time Stanley spent running is <u>1.5 hours</u>
- The duration of the time Stanley spent swimming is <u>1 hour</u>
- The duration of the time Stanley spent Biking is <u>3 hours</u>
- The distance Stanley cover while biking is <u>48 miles</u>
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Reasons:
The running speed = 9 mph
The biking speed = 16 mph
Swimming speed = 2.5 mph
The time spent running = 0.5 hour + Time spent swimming
Biking time = 2 × Running time
The total distance covered = 64 miles
Required:
Time spent running, swimming, and biking
Solution:
Let <em>t</em> represent the time Stanley spent swimming, we have;
(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64
43.5·t + 20.5 = 64
43.5·t = 64 - 20.5 = 43.5
- The time Stanley spent swimming, t = <u>1 hour</u>
The time Stanley spent running = 0.5 + t
Therefore;
The time spent running = 0.5 hour + 1 hour = 1.5 hour
- Time spent running = <u>1.5 hours</u>
Time spent biking = 2 × Running time
Therefore;
- Time spent biking = 2 × 1.5 hours = <u>3 hours</u>
- The distance Stanley cover while biking, d = 3 × 16 mph = <u>48 miles</u>
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