QuestionIn a 60-minute class, how many minutes do members spend stretching if they stretch for 2 minutes every 12 minutes?

Studdy Solution

STEP 1

Assumptions1. For every12 minutes of aerobic exercise, there are minutes of stretching. . The total class duration is60 minutes.
3. The ratio of aerobic exercise to stretching is constant throughout the class.

STEP 2

First, we need to find the total number of blocks in the class. A block is defined as a12-minute aerobic exercise period followed by a2-minute stretching period, which totals to14 minutes.
$Number\, of\, blocks = Total\, class\, duration / Duration\, of\, one\, block$

STEP 3

Now, plug in the given values for the total class duration and the duration of one block to calculate the number of blocks.
$Number\, of\, blocks =60\, minutes /14\, minutes$

STEP 4

Calculate the number of blocks.
$Number\, of\, blocks =60 /14 \approx4.29$

STEP 5

Since we can't have a fraction of a block, we round down to the nearest whole number. So, there are4 complete blocks in the60-minute class.
$Number\, of\, complete\, blocks =4$

STEP 6

Now that we have the number of complete blocks, we can find the total time spent stretching. This is done by multiplying the number of blocks by the stretching time per block.
$Total\, stretching\, time = Number\, of\, complete\, blocks \\times Stretching\, time\, per\, block$

STEP 7

Plug in the values for the number of complete blocks and the stretching time per block to calculate the total stretching time.
$Total\, stretching\, time =4 \\times2\, minutes$

STEP 8

Calculate the total stretching time.
$Total\, stretching\, time =4 \\times2 =8\, minutes$ The class members spend8 minutes stretching.

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