SOLUTION: anthony can build a wall in 10 hours. his helper can do it in 15 hours. how long will it take them working together, assuming that each works at his own rate?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: anthony can build a wall in 10 hours. his helper can do it in 15 hours. how long will it take them working together, assuming that each works at his own rate?       Log On


   

Question 674345: anthony can build a wall in 10 hours. his helper can do it in 15 hours. how long will it take them working together, assuming that each works at his own rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
Anthony's rate is ( 1 wall ) / ( 10 hrs )
Helper's rate is ( 1 wall ) / ( 15 hrs )
Let +t+ = time in hours for them to do it together
+1%2F10+%2B+1%2F15+=+1%2Ft+
Multiply both sides by +30t+
+3t+%2B+2t+=+30+
+5t+=+30+
+t+=+6+
It takes them 6 hrs working together