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April 13th, 2018, 12:26 AM   #1
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Working rates with algebra

One day, it takes p hours for q factory workers to construct r items. The following day three more worked join the team and four more items are required to be constructed.

1)Find how many hours it will take, in terms of p,q and r.

2)If in fact it takes the same length of time, find an equation and show that it reduces to 4q=3r.

Instead of answering the questions, unless you would like to, can someone please clarify how to express rates of work by algebra, like in this question?

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April 13th, 2018, 05:05 AM   #2
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Make up a simple example; as example:
5 workers working for 8 hours construct 400 items.
So q=5, p=8 and r=400.
Which means each worker constructs 400/(5*8 ) = 10 items per hour.

Now what happens if (as example) 2 more workers are hired?
7 workers @ 10 items per hour = 70 items per hour.

Play with that !!
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