Question

It takes 15 caterpillars 24 hours to eat all the leaves on the bush in Violetta’s front yard. How many hours would it It takes 15 caterpillars 24 hours to eat all the leaves on the bush in Violetta’s front yard. How many hours would it take 18 caterpillars to eat the same bush, assuming all the caterpillars eat at the same pace? .

Answer 1

Answer:

20 hours

Step-by-step explanation:

Answer 2

The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

Explanation:

Time taken is the inverse of the rate of work.

As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,

Rate = number of bush that caterpillars eat / time take by the caterpillars

Rate = 1 / 24

Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,

Rate = (1 / 24) / 15

        = 1 / 24 * 15

Now, the time taken by 18 caterpillars can be written as,

Time taken = work / rate * 18

                  = 1 / (1 / 24 * 15) * 18

                  = 24 * 15 / 1 * 18  

                    = 20 hours

Hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.

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