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16 July, 11:51

A machine shop produces metal brackets on two different machines. Machine 1 can produce a bracket every 10 minutes. Machine 2 can produce a bracket every 4 minutes. What is the average productivity per machine?

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  1. 16 July, 12:20
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    10.5 is the average productivity per machine.

    Explanation:

    To calculate the average productivity per machine, the following steps will be taken

    Step 1: Calculate the number of brackets produced per hour for Machine 1

    The formula is 60 Minutes (total number of minutes in an hour) / 10 Minutes (total time it takes to produce a bracket)

    =60/10 = Machine 1 can produce 6 brackets per hour

    Step 2: Calculate the number of brackets produced per hour for Machine 2

    The same step as machine 1 in step 1 is also taken

    = 60 Minutes / 4 Minutes = Machine 2 can produce 15 brackets per hour.

    Step 3: Now calculate the average productivity per machine

    To do this, add the number of bracket produced by each machine and divide by 2

    = 6 + 15 = 21/2

    = 10.5

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