Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed = [tex]\frac{distance}{time}[/tex]
1. total distance covered = [tex]\frac{9}{8}[/tex] + [tex]\frac{27}{8}[/tex]
= [tex]\frac{9+27}{8}[/tex]
= [tex]\frac{36}{8}[/tex]
= 4[tex]\frac{1}{2}[/tex] inches
Total time taken = [tex]\frac{3}{4}[/tex] + [tex]\frac{9}{4}[/tex]
= [tex]\frac{3 +9}{4}[/tex]
= [tex]\frac{12}{4}[/tex]
= 3 minutes
The ants average speed = [tex]\frac{4.5}{3}[/tex]
= 1[tex]\frac{1}{2}[/tex]
= 1.5
The ants speed is 1[tex]\frac{1}{2}[/tex] inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x = [tex]\frac{3}{60}[/tex]
= [tex]\frac{1}{60}[/tex]
= 0.05 hours
Speed = [tex]\frac{4.5}{0.05}[/tex]
= 90 inches per hour
The red ants speed is 90 inches per hour.
