On Monday, it took Helen 3 hours to do a page of science

Question

homework exercises. The next day she did the same number
of exercises in 2 hours. If her average rate on Monday was p
exercises per hour, what was her average rate the next day, in
terms of p?

I know that the answer is 3/2 p exercises per hour, but I don't completely understand how that is.

The part that is confusing me is the wording of the question when it says "average rate" and "terms of p". I'm thinking "terms of p" is equivalent to saying units per measure ie. feet squared, etc.

Can someone please thoroughly explain the though process behind achieving the answer?

Answer 1

Also what kind of problem is this? a rate of change?

Answer 2

total = p * 3
total = q * 2
where q is new improved rate
so
q * 2 = 3 * p
q = (3/2) p = 1.5 p

Answer 3

What word told you to multiply 3 and pe and q and 2 instead of divide? and then why did you set them equal to each other?

Answer 4

" ....The next day she did the same number of exercises ...... "
This clues me in to set a total number of exercises, which I call "total" that is the same both days.
if she does 3 execises per hour I call that rate p per hour
then p exercises/hour * 3 hours = total exercises done

then the next day she works at another rate, q exercises per hour
and we are told that she gets the total done in 2 hours
so
q exercises/hour * 2 hours = that same total