Answer: 4500 seconds
Step-by-step explanation:
Given : A snail travels 80 feet in 50 minutes.
Formula for speed = [tex]\dfrac{\text{Distance}}{\text{Time}}[/tex]
Speed of snail = [tex]\dfrac{80}{50}[/tex] feet per minute. (1)
Let x be the time taken by snail to travel 120 feet, then speed of snail will be :
[tex]\dfrac{120}{x}[/tex] (2)
If rate is same, then we have from (1) and (2)
[tex]\dfrac{120}{x}=\dfrac{80}{50}\\\\\Rightarrow\ x=\dfrac{120\times50}{80}=75\text{ minutes}[/tex]
In seconds, [tex]75\times60=4500\text{ seconds}[/tex]
Hence, the snail will take 4500 seconds to travel 120 feet.
