Respuesta :
Answer:
The rate in miles per hour is 22.5 miles per hour.
67.5 miles will the cyclist travel in 3 hours.
Step-by-step explanation:
Given : A cyclist rides his bike at a rate of 33 feet per second.
To find : What is this rate in miles per hour? How many miles will the cyclist travel in 3 hours?
Solution :
The fact given is 1 mile = 5280 feet.
A cyclist rides his bike at a rate of 33 feet per second.
Converting feet per second into miles per hour,
[tex]1\text{ feet}=\frac{1}{5280}\text{ mile}[/tex]
[tex]1\text{ second}=\frac{1}{3600}\text{ hour}[/tex]
[tex]1\text{ feet/second}=\frac{3600}{5280}\text{ miles/hour}[/tex]
[tex]33\text{ feet/second}=33\times \frac{3600}{5280}\text{ miles/hour}[/tex]
[tex]33\text{ feet/second}=22.5\text{ miles/hour}[/tex]
The rate in miles per hour is 22.5 miles per hour.
The time taken is 3 hours.
The distance covered is given by,
[tex]\text{Distnace}=\text{Speed}\times \text{Time}[/tex]
[tex]\text{Distnace}=22.5\times 3[/tex]
[tex]\text{Distnace}=67.5[/tex]
Therefore, 67.5 miles will the cyclist travel in 3 hours.
