SOLUTION: Jill builds a dog house in 4 hours. Todd builds the same type of dog house in 6 hours. How long will it take them to build a house together?

Question 198837: Jill builds a dog house in 4 hours. Todd builds the same type of dog house in 6 hours. How long will it take them to build a house together?
Found 2 solutions by user_dude2008, josmiceli:
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
t(1/4+1/6)=1

t(3/12+2/12)=1

t(5/12)=1

t=12/5

t=2.4

Answer: takes 2.4 hours (2 hrs and 24 min) working together
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Given:
Jill's rate of building: (1 dog house) / (4 hours)
Todd's rate of building: (1 dog house) / (6 hours)
Let = time to build 1 dog house working together
Add their rates to get rate with both working together

Multiply both sides by

It will take them 2.4 hours working together
RELATED QUESTIONS
Anna builds a house in 3 hours,Jill builds houses in 8 hours, how long will it take them... (answered by TimothyLamb)
James can build a dog house by himself in 4 days. Rodel can build the same dog house by... (answered by josgarithmetic)
Sally paints a house in 4 hours, jill paints the same house in 6 hours, how long does it... (answered by ptaylor)
Hello could you please help me work out this word sum:2 engineers build robots for a... (answered by josmiceli)
if jane paints a house in 4 hours and john paints the same house in 6 hours how long will (answered by solver91311)
Jack can paint a house in 10 hours and Jill can paint the same house in 6 hours. How long (answered by Alan3354)
How would I solve this type of problem? If sam can paint a house in 5 hours and Jill can (answered by Edwin McCravy)
Dave builds a set of cabinets in 5 hours. It would take Alan twice as long as Eric to... (answered by solver91311)
If Sara can paint a house in 4 hours, and John can paint the same house in 6 hours, how... (answered by AnlytcPhil)