SOLUTION: I cannot figure out the equation to calculate the following question. If two workers are working at different rates, how many minutes until their production is the same. What wo

Algebra ->  Expressions-with-variables -> SOLUTION: I cannot figure out the equation to calculate the following question. If two workers are working at different rates, how many minutes until their production is the same. What wo      Log On


   

Question 1086263: I cannot figure out the equation to calculate the following question. If two workers are working at different rates, how many minutes until their production is the same.
What would I do to be able to calculate this? I know it is something about d-r*t, but I cannot make a single equation that includes all the information.
Thank you for your help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Output
Let's assume an output of 100 completes the task.
So then,
R%5B1%5D%2At%5B1%5D=100
R%5B2%5D%2At%5B2%5D=100
So,
R%5B1%5Dt%5B1%5D=R%5B2%5Dt%5B2%5D
So you can calculate the ratio of times to complete if you know the rates,
t%5B1%5D%2Ft%5B2%5D=R%5B2%5D%2FR%5B1%5D
or you can calculate the ratio of rates if you know the times to complete,
R%5B2%5D%2FR%5B1%5D=t%5B1%5D%2Ft%5B2%5D