QuestionA machine produces 6 yards in 2 minutes. How much can it produce in 1 hour?

Studdy Solution

STEP 1

Assumptions1. The machine produces6 yards of fabric in minutes. We want to find out how much fabric the machine can produce in1 hour3. We assume that the machine produces fabric at a constant rate

STEP 2

First, we need to find the rate at which the machine produces fabric. We can do this by dividing the amount of fabric produced by the time it takes to produce that fabric.
$Rate = \frac{Fabric\, produced}{Time\, taken}$

STEP 3

Now, plug in the given values for the fabric produced and the time taken to calculate the rate.
$Rate = \frac{6\, yards}{2\, minutes}$

STEP 4

Calculate the rate at which the machine produces fabric.
$Rate = \frac{6\, yards}{2\, minutes} =3\, yards/minute$

STEP 5

Now that we have the rate, we can find out how much fabric the machine can produce in1 hour. To do this, we need to convert1 hour into minutes, since our rate is in yards per minute.
$1\, hour =60\, minutes$

STEP 6

Now, multiply the rate by the number of minutes in1 hour to find out how much fabric the machine can produce in that time.
$Fabric\, produced = Rate \\times Time$

STEP 7

Plug in the values for the rate and the time to calculate the amount of fabric produced.
$Fabric\, produced =3\, yards/minute \\times60\, minutes$

STEP 8

Calculate the amount of fabric produced.
$Fabric\, produced =3\, yards/minute \\times60\, minutes =180\, yards$ The machine can produce180 yards of fabric in1 hour.

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