Question 814165
Uniform Rates Situation,{{{R*d=j}}}
R is work rate in jobs per day
d is how many days of time
j is the quantity of jobs done


You want to find the one-man work rate.
800 people do a job in 80 days;
1 person does this one job in 800*80 days.  This is 64000 days.
You could express this rate as {{{1/64000}}} job per day.


The described situation is in two time quantities, each having a different number of people working.  You have 5 days with 800 people, and d days with 750 people.  These two time periods were passed to accomplish 1 whole job.


Solve for the variable, d, in this equation describing the situation:
{{{highlight(800(1/64000)*5+750(1/64000)d=1)}}}
Definitely, simplify before starting.