QuestionSam raked 3 bags in 16 minutes. How long for 5 bags at the same rate? Calculate: $\frac{16}{3} \times 5$ .

Studdy Solution

STEP 1

Assumptions1. Sam raked3 bags of leaves in16 minutes. . Sam continues to work at the same rate.
3. We need to find out how long it will take him to rake5 bags.

STEP 2

First, we need to find out how long it takes Sam to rake one bag of leaves. We can do this by dividing the total time by the number of bags he raked.
$Time\, per\, bag = Total\, time / Number\, of\, bags$

STEP 3

Now, plug in the given values for the total time and the number of bags to calculate the time per bag.
$Time\, per\, bag =16\, minutes /3\, bags$

STEP 4

Calculate the time it takes Sam to rake one bag of leaves.
$Time\, per\, bag =16\, minutes /3\, bags =.33\, minutes/bag$

STEP 5

Now that we have the time per bag, we can find out how long it will take Sam to rake5 bags. We can do this by multiplying the time per bag by the number of bags.
$Total\, time = Time\, per\, bag \\times Number\, of\, bags$

STEP 6

Plug in the values for the time per bag and the number of bags to calculate the total time.
$Total\, time =5.33\, minutes/bag \\times5\, bags$

STEP 7

Calculate the total time it will take Sam to rake5 bags of leaves.
$Total\, time =5.33\, minutes/bag \\times5\, bags =26.65\, minutes$ It will take Sam about27 minutes to rake5 bags of leaves.

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