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25 Jan 2009, 12:10
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6 machines take 12 days to complete a job. How many more machines will be needed to complete the job in 8 days?
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Updated on: 25 Jan 2009, 15:56
Originally posted by IanStewart on 25 Jan 2009, 12:19.
Last edited by IanStewart on 25 Jan 2009, 15:56, edited 1 time in total.
Last edited by IanStewart on 25 Jan 2009, 15:56, edited 1 time in total.
wrote 'hours' instead of 'days'!
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The job requires 6*12 = 72 total days of machine work. So, one machine would do the job in 72 days, two machines in 36 days, three machines would need 24 days, etc. To do the job in 8 days, we'd need 9 machines in total, or 3 additional machines.
25 Jan 2009, 13:22
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If 6 machines take 12 days to complete the task, one machine takes 72 days. Let X be number of machines and d the number of days:
\(\frac{x}{72}=\frac{1}{d}\)
What you want is for d to equal 8, so X must be nine and you'll need 3 more machines.
Answer B
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All Day
\(\frac{x}{72}=\frac{1}{d}\)
What you want is for d to equal 8, so X must be nine and you'll need 3 more machines.
Answer B
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All Day
