Question

help please i will reward you

Answer 1

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.

Answer 2

what's the question?

Answer 3

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.

Answer 4

@jim_thompson5910

Answer 5

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

Answer 6

okay so now i just have to find the common denominator and combine?

Answer 7

would it take him 26 hours to do it on hs own @jim_thompson5910

Answer 8

@mns

Answer 9

\[\Large \frac{1}{x} + \frac{1}{x-8} = \frac{1}{3}\]
\[\Large 3x(x-8)*\left(\frac{1}{x} + \frac{1}{x-8}\right) = 3x(x-8)*\left(\frac{1}{3}\right)\]
\[\Large 3x(x-8)*\left(\frac{1}{x}\right) + 3x(x-8)*\left(\frac{1}{x-8}\right) = 3x(x-8)*\left(\frac{1}{3}\right)\]
\[\Large 3(x-8) + 3x = x(x-8)\]
I'll let you take over

Answer 10

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)

Answer 11

oh sorry line 3 is cut off, it is supposed to be

\[3x(x-8)*\left(\frac{1}{x}\right) + 3x(x-8)*\left(\frac{1}{x-8}\right) = 3x(x-8)*\left(\frac{1}{3}\right)\]