SOLUTION: Javier takes three times as long to do a job as Luis does. Suppose t represents the time it takes Luis to do the job. Then 3t represents the time it takes Javier. How long does it

Algebra ->  Test -> SOLUTION: Javier takes three times as long to do a job as Luis does. Suppose t represents the time it takes Luis to do the job. Then 3t represents the time it takes Javier. How long does it       Log On


   



Question 600021: Javier takes three times as long to do a job as Luis does. Suppose t represents the time it takes Luis to do the job. Then 3t represents the time it takes Javier. How long does it take Javier if Luis takes (a) 30sec? (b) 90 sec? (c) 2 min?. I need help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Luis's rate of working is
( 1 job ) / ( t sec )
Javier's rate of working is
{ 1 job ) / ( 3t sec )
-----------------
(a)
+t=+30+ sec
Javier takes
+3t+=+3%2A30+ sec
+3t+=+90+ sec
-----------------
(b)
+t+=+90+ sec
Javier takes
+3t+=+3%2A90+ sec
+3t+=+3%2A90+ sec
+3t+=+270+ sec
+270%2F60+=+4.5+ min
-----------------
(c)
+t+=+2+ min
Javier takes
+3t+=+3%2A2+ min
+3t+=+6+ min
-----------------