Question 812722
Uniform Rates problem.


R is in words per minute;
t is in minutes;
w is in words.

{{{Rt=w}}}


Reading the description, at some time, w will be equal for both people, but one has already more words than the other.  Susan must type w words (now assigning a variable), and Paul must still type w-510.


Try a data table:


Typist_________rate___________time___________words
Susan__________75_____________t______________w
Paul___________60_____________t_____________w-510


Each would type for the same amount of time, according to the data tabulated information and the inferred assigning of t.  The number of words will be different for each during time t.  Reason is Paul already has some words printed.


We would want to first solve for w.  HOW?  Use R*t=w, and divide both sides by R.

We have {{{t=w/R}}}


Our data table may look like this:


Typist_________rate___________time___________words
Susan__________75_____________{{{t=w/75}}}______________w
Paul___________60_____________{{{t=(w-510)/60}}}_____________w-510


Can you see what to do?  The times, "t" are equal.  Find the value for w.  You plainly have two formulas for t.