I actually need help
Jake takes 6 hours to complete a particular job. Suppose he and John begin working on the job together, after 2 hours Jake leaves. If John completes the job himself an hour later, how long would it have taken John to complete the same job if he worked alone?

Question

Angle · Answer

so what I have so far:
Jake by himself = 6 hours
Some Combination = (2 hours of J+J) + (1 hour of John by himself)

want to find
John by himself = ? hours

Bob · Answer

the johns and jakes make it confusing, why couldn't it be 2 more different names lol

Angle · Answer

I know right haha

how about this
A = Jake
B = John

Bob · Answer

D = Rate * time

Wouldn't we use this formula

Bob · Answer

where d represents number of houses and not distance

Angle · Answer

yeah
but I guess it would be a sum

like (combined rate)*(time of combined) + (john rate)*(time john took) = 1 whole job

Bob · Answer

im trying to bring nightowl into this lmaooo

Bob · Answer

x = rate of jake
y = rate of john

1 = x * 6    would be jake
1 = (x + y) * 2 + y * 1

expanded

1= 6x
1 = 2x + 3y

solve for x
x = 1/6

substitute into the 2nd equation

1 = 2 (1/6) + 3y

1 = 2/6 + 3y
1 - 2/6 = 3y

1 - 1/3 = 3y

2/3 = 3y

y = 2/3 * 1/3

y = 2/9 hours

Bob · Answer

@BlankSpace

nightowl's a genius fam lol

Angle · Answer

I just got to that answer myself....
but that means that John is a freaking demon
doing a job that takes Jake 6 hours, he does it in less than 14 minutes

Angle · Answer

I was doubting myself for a good few minutes

but thank nightowl for me

Bob · Answer

he says he only has an undergraduate math degree lol

Shadow · Answer

John is Barry Allen

Angle · Answer

this is... from my high school math course

i.e. high school math content for future teachers

Bob · Answer

lol shadow

Bob · Answer

wait nightowl is telling me otherwise

Bob · Answer

says 2/9 is the rate at which John completes a single house

but to find the time...

1 = 2/9 * t

9/2 hours = t

Bob · Answer

4.5 hours

Angle · Answer

that makes more sense x'D

Ultrilliam · Answer

One of these days we will be able to get nightowl aboard the QC ship... x'D

dude · Answer

He exists.