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Brandon completed 12 1/2 problems in 50 minutes if he worked at a constant rate how long would it take him to complete in 8 .

1 Answer

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Final answer:

At his constant working rate, Brandon would take 32 minutes to complete 8 problems, calculated by first determining his rate of 4 minutes per problem.

Step-by-step explanation:

Brandon worked at a constant rate and completed 12 1/2 problems in 50 minutes. To find out how long it would take him to complete a single problem, we can use unit rate calculations. First, we convert 12 1/2 problems to an improper fraction, which is 25/2 problems. Then, we set up a ratio to find the time per problem:

50 minutes

/ (25/2 problems) =

50 minutes

* (2/25) =

4 minutes/problem

.

Now to find out how long it would take him to complete 8 problems at the same rate, we simply multiply the time per problem by the number of problems:

4 minutes/problem *

8 problems

=

32 minutes

.

Therefore, it would take Brandon 32 minutes to complete 8 problems at his constant working rate.

User Wetjosh
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