Taking into account the definition of speed, Monica will complete the triathlon in 12.62 hours.
<h3>Definition of speed</h3>
Speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
speed= distance traveled÷ time
<h3>Time to complete the triathlon</h3>
In this case, you know
- speed= 1.8 mph
- distance traveled= 2.4 miles
- speed= 19.2 mph
- distance traveled= 112 miles
- speed= 4.8 mph
- distance traveled= 26.2 miles
Replacing these values in the speed definition:
- Swim: 1.8 mph= 2.4 miles÷ time to swim
- Ride a bike: 19.2 mph= 112 miles÷ time to ride a bike
- Run: 4.8 mph= 26.2 miles÷ time to run
Solving:
<u><em>Swim: </em></u>1.8 mph×time to swim= 2.4 miles
time to swim= 2.4 miles÷ 1.8 mph
time to swim= 1.33 h
<u><em>Ride a bike:</em></u> 19.2 mph× time to ride a bike = 112 miles
time to ride a bike= 112 miles÷ 19.2 mph
time to ride a bike=5.83 h
<u><em>Run: </em></u>4.8 mph× time to run= 26.2 miles
time tu run= 26.2 miles÷ 4.8 mph
time to run= 5.46 h
The time to complete the triathlon is the sum of each of the stages:
Total time= time to swim + time to ride a bike + time to run
Total time= 1.33 h + 5.83 h + 5.46 h
<u><em>Total time= 12.62 h</em></u>
In summary, Monica will complete the triathlon in 12.62 hours.
Learn more about average speed:
brainly.com/question/15273551
brainly.com/question/9834403
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