SOLUTION: together camden and aidan can repair a van in 5 hours. if aidan can complete the job himself in 8/1/3 hours, how long would it take camden to fix the can by himself?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: together camden and aidan can repair a van in 5 hours. if aidan can complete the job himself in 8/1/3 hours, how long would it take camden to fix the can by himself?      Log On


   

Question 1058889: together camden and aidan can repair a van in 5 hours. if aidan can complete the job himself in 8/1/3 hours, how long would it take camden to fix the can by himself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +1%2Ft+ Camden's rate of working in the units:
[ 1 van repaired ] / [ t hrs ]
-----------------------------
+1+%2F+%2825%2F3%29+=+3%2F25+ = Aiden's rate of working
[ 3 vans repaired ] / [ 25 hrs ] which is the same as:
[ 1 van repaired ] / [ 8.333 hrs ]
------------------------------
Together, their rate is:
+1%2F5+ =
[ 1 van repaired ] / [ 5 hrs ]
Add their rates of working to get
their rate working together
-------------------------------
+3%2F25+%2B+1%2Ft+=+1%2F5+
Multiply both sides by +25t+
+3t+%2B+25+=+5t+
+2t+=+25+
+t+=+12.5+
-------------------
Working alone, Camden can fix the van
in 12.5 hrs
-------------------
check:
+1%2F8.333+%2B+1%2F12.5+=+1%2F5+
+.12+%2B+.08+=+.2+
+.2+=+.2+
OK