Answer:
Jeff=7.5 hrs
Bianca=5 hrs
Step-by-step explanation:
First you need to find how many words they each edited, so make x=words edited. Bianca edits 1.5 times as many words than Jeff (per hour) so the equation can be written as x(words Jeff edited) + 1.5x(words Bianca edited) = 2500. So 2.5x=2500, so x=1000(Jeff's words edited), so if you multiply by 1.5 you get Bianca's words edited of 1500. However all of this happened over 3 hours so to get their words per hour divide their total words (what we just found) by 3 to get
Jeff= 333.3 words per hour
Bianca= 500 words per hour
Now define y=hours, and to find the hours to edit 2500 words set the equation of words per hour times hour equal to 2500 words, and you can make two equations:
Jeff 333y=2500
Bianca 500y=2500
Solve for both of those and you get:
Jeff= 7.5 hrs
Bianca= 5 hrs
