SOLUTION: 1)An Experienced bricklayer can construct a small wall in 5 hours. The apprentice can complete the job in 10 hours. Calculate how long it takes to construct 3 walls if they work

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 1)An Experienced bricklayer can construct a small wall in 5 hours. The apprentice can complete the job in 10 hours. Calculate how long it takes to construct 3 walls if they work       Log On


   

Question 445897: 1)An Experienced bricklayer can construct a small wall in 5 hours. The apprentice can complete the job in 10 hours. Calculate how long it takes to construct 3 walls if they work together.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working to get the rate
at which they work together
Experienced bricklayer:
( 1 wall ) / ( 5 hours ) = +1%2F5+
Apprentice:
( 1 wall ) / ( 10 hrs ) = +1%2F10+
Let the time to construct 3 walls = t
+1%2F5+%2B+1%2F10+=+3%2Ft+
Multiply both sides by 10t
+2t+%2B+t+=+30+
+3t+=+30+
+t+=+10+
Working together, it will take 10 hours
to construct 3 walls