Problema Solution
It takes Jonathan 2/3 as long as it takes Juancho to painy a car. If together Jonathan and Juancho take 12 hours, how long would it take Juancho to dothe work alone.
Answer provided by our tutors
Let t = Juancho's time to paint a car
Then 2/3*t = Jonathan's time to paint a car.
1/(time Junacko needs) + 1/(time Jonathan needs) = 1/(the total time they need together)
1/t + 1/(2/3*t) = 1 / 12
multiply both sides by t
1 + 3/2 = t/12 multiply both sides by 12
t = 12 + 18
t= 30 hours
Juancho needs 30 hrs to the work alone.