anonymous
  • anonymous
help please i will reward you
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. If they work together, they can complete the job in 3 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jimmy to complete this job on his own.
Kash_TheSmartGuy
  • Kash_TheSmartGuy
what's the question?
anonymous
  • anonymous
Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. If they work together, they can complete the job in 3 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jimmy to complete this job on his own.

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More answers

anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
x = time it takes Jimmy to do the job alone x-8 = time it takes Harry to do the job alone (since he can do it 8 hrs faster) you can form this equation based off of the given word problem \[\Large \frac{1}{x} + \frac{1}{x-8} = \frac{1}{3}\] solve for x to get your answer
anonymous
  • anonymous
okay so now i just have to find the common denominator and combine?
anonymous
  • anonymous
would it take him 26 hours to do it on hs own @jim_thompson5910
anonymous
  • anonymous
@mns
jim_thompson5910
  • jim_thompson5910
\[\Large \frac{1}{x} + \frac{1}{x-8} = \frac{1}{3}\] \[\Large 3x(x-8)*\left(\frac{1}{x} + \frac{1}{x-8}\right) = 3x(x-8)*\left(\frac{1}{3}\right)\] \[\Large 3x(x-8)*\left(\frac{1}{x}\right) + 3x(x-8)*\left(\frac{1}{x-8}\right) = 3x(x-8)*\left(\frac{1}{3}\right)\] \[\Large 3(x-8) + 3x = x(x-8)\] I'll let you take over
jim_thompson5910
  • jim_thompson5910
In step 2, I multiply both sides of the equation by the LCD 3x(x-8) to clear out all the fractions (which are fully cleared out by step 4)
jim_thompson5910
  • jim_thompson5910
oh sorry line 3 is cut off, it is supposed to be \[3x(x-8)*\left(\frac{1}{x}\right) + 3x(x-8)*\left(\frac{1}{x-8}\right) = 3x(x-8)*\left(\frac{1}{3}\right)\]

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