SOLUTION: It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hrs, how long would it take Juancho to do the work alone?

Question 389489: It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hrs, how long would it take Juancho to do the work alone?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
t takes Jonathan 2/3 as long as it takes Juancho to paint a car.
If together Jonathan and Juancho take 12 hrs, how long would it take Juancho to do the work alone?
:
let x = time required by Ju alone
then
x = time required by Jo alone
:
Let the completed job = 1; (a painted car)
:
+ = 1
multiply by x, results:
(12) + (12) = x
12 + 8 = x
20 = x
multiply by 3
3(20) = 2x
2x = 60
x = 30 hrs, Ju alone
:
:
Check solution,
30 = 20 hrs, Jo alone
+ = 1
.6 + .4 = 1; confirms our solution
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Juancho's time to paint a car
Then = Jonathan's time to paint a car

multiply both sides by

Multiply both sides by

It takes him 30 hrs alone

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