Answer: The inchworm would take ten and a half hours to get out of the hole.
Step-by-step explanation:
The worm climbs up 2 inches every hour, but spends 30 minutes sliding an inch down. We can see this as the inchworm making 1 inch of progress every hour and a half. Since the hole is 7 inches deep, you would set up a ratio like this:
[tex]\frac{7}{x} = \frac{1}{1.5}[/tex]. the numerators representing the inches and the denominators representing the time. Cross multiply to get 10.5 = x, which is why the inchworm takes ten and a half hours to get out of the 7 inch hole that he fell down. Hope this helped :)
