SOLUTION: It takes 4 workers 9 days to lay a stretch of road. How long does it take 6 workers to lay the same stretch of road?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes 4 workers 9 days to lay a stretch of road. How long does it take 6 workers to lay the same stretch of road?       Log On


   



Question 765113: It takes 4 workers 9 days to lay a stretch of road. How long does it take 6 workers to lay the same stretch of road?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It takes 4 workers 9 days to lay a stretch of road
-----------------------------------------
Half that number of workers will take twice as long, so
It takes 2 workers 18 days to lay a stretch of road
------------------------------------------
3 times that number of workers will take 1/3 of that time, so
It takes 6 workers 6 days to lay a stretch of road
-----------------------------------------
You can also do an inverse variation:
+4+=+k%2A%28+1%2F9+%29+
+k+=+36+
and
+6+=+k%2A%28+1%2Fd+%29+ ( +d+ is days to lay the road )
+6+=+36%2A%28+1%2Fd+%29+
+d+=+36%2F6+
+d+=++6+