Respuesta :
Answer: Rate = 7.5 miles per hour
The cyclist will travel 37.5 miles in 5 hours.
Step-by-step explanation:
Given : A cyclist rides his bike at a rate of 11 feet per second.
Also, 1 mile = 5280 feet.
Then, by Unitary method , [tex]\text{ 1 foot}=\dfrac{1}{5280}\text{ mile}[/tex]
1 hour = 3600 seconds
Then, [tex]\text{ 1 second}=\dfrac{1}{3600}\text{ hour}[/tex]
Then,
[tex]\text{Rate}=\text{11 feet per second}=11\times\dfrac{1}{5280}\times3600\\\\=7.5\text{ miles per hour}[/tex]
i.e. Distance covered in 1 hour = 7.5 miles
Then, the distance covered in 5 hours will be :[tex]5\times7.5=37.5\text{ miles}[/tex]
Hence, the cyclist will travel 37.5 miles in 5 hours.