SOLUTION: How would I solve this? 2 men are painting identical size houses. It takes one man 5 hours to paint a house. It takes the other man 3 hours to paint a house. How long would it

Algebra ->  Rate-of-work-word-problems -> SOLUTION: How would I solve this? 2 men are painting identical size houses. It takes one man 5 hours to paint a house. It takes the other man 3 hours to paint a house. How long would it       Log On


   

Question 825081: How would I solve this?
2 men are painting identical size houses. It takes one man 5 hours to paint a house. It takes the other man 3 hours to paint a house. How long would it take if both men paint the same size house together?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
if it takes one man 5 hours to paint a house, he paints 1%2F5 of the house in one hour


if it takes the other man 3 hours to paint a house, he paints 1%2F3 house in an hour


so, together they paint 1%2F3+%2B+1%2F5+=+8%2F15 of the house in an hour

and %288%2F15%29x=1....solve for x

8x=15

x=15%2F8

x=1.875 this is how many days would it take if both men paint the same size house together
or x=1 day ,52 min, and 30 sec