SOLUTION: It takes 1 person 2 hours to paint a car. It takes another person 4 hours to paint a car. Another person also takes 4 hours to paint a car.How long will it take all of them to pai

Question 774362: It takes 1 person 2 hours to paint a car. It takes another person 4 hours to paint
a car. Another person also takes 4 hours to paint a car.How long will it take all of them to paint 1 car.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
t takes 1 person 2 hours to paint a car.
It takes another person 4 hours to paint a car.
Another person also takes 4 hours to paint a car.
How long will it take all of them to paint 1 car.
:
Let t = time for all three to paint the car
Let the completed job = 1
:
Each will do a fraction of the job, the three factions add up to 1
+ + = 1
multiply by 4 to clear the denominators, resulting in:
2t + t + t = 4
4t = 4
t = 1 hr for all three to do the job
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