Hi All,
If you find yourself getting 'lost' in these types of questions, it often helps to 'break down the data step-by-step:
Here, we're told that 5 machines can produce 20 units in 10 hours....
That means that EACH machine WORKS for 10 hours apiece. Since there are 5 machines (and we're meant to assume that each machine does the same amount of work), then the 5 machines equally created the 20 units.
20 units/5 machines = 4 units are made by each machine every 10 hours
Now that we know how long it takes each machine to make 4 units, we can break THIS down further if we choose to...
10 hours/4 units = 2.5 hours per unit when 1 machine is working.
The prompt asks us how long would it take 20 machines to produce 100 units.
If 20 machines each work for 2.5 hours, then we'll have 20 units. Since 100 units is '5 times' 20, we need '5 times' more TIME.
(2.5 hours)(5 times) = 12.5 hours
Final Answer:
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Rich
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