Question

It takes 36 caterpillars 15 hours to eat all the leaves on the bush in Violetta’s front yard. How many hours would it take 54 caterpillars to eat the same bush, assuming all the caterpillars eat at the same pace?

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Answer 1

10 HOURS

Explanation:

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Answer 2

Answer: 10 hours

Let's use the fact that the number of caterpillars eating the bush and the time it takes to eat the bush are inversely proportional to each other, since all the caterpillars eat at the same pace.

This means that if we increase the number of caterpillars, the time it takes to eat the bush will decrease, and vice versa.

Now, we can set up the proportion:

number of caterpillars * time to eat the bush = constant ( fixed number )

We know that 36 caterpillars can eat the bush in 15 hours, so the constant is:

36 * 15 = 540

To find how long it would take 54 caterpillars to eat the same bush, we can plug in the values into the formula and solve for the time:

54 * t = 540

t = 540 / 54

t = 10

It would take 54 caterpillars 10 hours to eat all the leaves on the bush in Violetta's front yard