Answer :
Answer:
1) No
2) Yes
Step-by-step explanation:
Given : If it took Carlos 30 minutes to cycle from his house to the library yesterday.
To find : Was the distance that he cycled greater than 6 miles?
Solution :
The relation between speed , distance and time is
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
Speed = 16 feet per second
Converting into miles, [tex]s=\frac{16}{5280}[/tex]
Time = 30 minute
Converting into seconds, [tex]t=30\times 60[/tex]
The distance he covered is
[tex]\text{Distance}=\frac{16}{5280}\times30\times 60[/tex]
[tex]\text{Distance}=5.45\text{ miles}[/tex]
No, the distance that he cycled is not greater than 6 miles.
2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.
Speed = 18 feet per second
Converting into miles, [tex]s=\frac{18}{5280}[/tex]
Time = 30 minute
Converting into seconds, [tex]t=30\times 60[/tex]
The distance he covered is
[tex]\text{Distance}=\frac{18}{5280}\times30\times 60[/tex]
[tex]\text{Distance}=6.13\text{ miles}[/tex]
Yes, the distance that he cycled is greater than 6 miles.