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An inchworm fell into a hole that is 7 inches deep. He can climb 2 inches
every hour before he needs to rest for a half hour. But while he rests, he
slides back down an inch.
How long will it take him to get out the hole?

Sagot :

Mumblecat59idn

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 :)

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