If 5 machines can produce 60 pots working 10 hours a day, then how many pots can be made when 15 machines work for 30 hours a day?

280

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300

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540

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600

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Solution

The correct option is C 540
More machines means more pots can be made, so it is in direct proportion. The proportion is 5:15∷60:x

If more hours spend, then more pots can be made, so it is in direct proportion. The proportion is 10:30∷60:x

We know that the product of extremes = the product of means.

5×10×x=15×60×30

x=(15×60×30)/(5×10)=3×6×30

=540

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If 5 machines can produce 60 pots working 10 hours a day, then how many pots can be made when 15 machines work for 30 hours a day? ​

If 5 machines can produce 60 pots working 10 hours a day, then how many pots can be made when 15 machines work for 30 hours a day?