SOLUTION: jonathan and victoria can finish a job in 13 (13/13) days. jonathan can do the job himself in 26 days. if Victoria wanted to do the job alone, how long would it take her?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: jonathan and victoria can finish a job in 13 (13/13) days. jonathan can do the job himself in 26 days. if Victoria wanted to do the job alone, how long would it take her?      Log On


   



Question 1150025: jonathan and victoria can finish a job in 13 (13/13) days. jonathan can do the job himself in 26 days. if Victoria wanted to do the job alone, how long would it take her?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in days for Victoria to do the job alone
Add their rates of working to get rate working together
[ 1 job / 26 days ] + [ 1 job / t days ] = [ 1 job / 13 days ]
+1%2F26+%2B+1%2Ft+=+1%2F13+
+1%2F26+%2B+1%2Ft+=+2%2F26+
+1%2Ft+=+1%2F26+
+t+=+26+ days