SOLUTION: Sue can collect data from 5 more houses per hour than Joe. It took Sue 2 hours less to collect data from 120 houses than it took Joe to collect data from the same number of houses.

Question 1031218: Sue can collect data from 5 more houses per hour than Joe. It took Sue 2 hours less to collect data from 120 houses than it took Joe to collect data from the same number of houses. What is Joe's rate of collecting data.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sue can collect data from 5 more houses per hour than Joe.
Joe rate = x houses/hour
Sue rate = (x+5) houses/hour
--------------------------------
It took Sue 2 hours less to collect data from 120 houses than it took Joe to collect data from the same number of houses. What is Joe's rate of collecting data.
------------
Sue time to collect 120 houses:: 120/(x+5))
-----
Joe time to collect 120 houses 120/x) = 120x
-----
120/x - 120/(x+5) = 2 hrs
-------------------------
120(x+5) - 120x = 2x(x+5)
600 = 2x^2 + 10x
x^2 + 5x - 300 = 0
------------------------
x = 15 houses per hour (Joe's rate)
x+5 = 20 houses per hour (Sue's rate)
-----------------
Cheers,
Stan H.
RELATED QUESTIONS
I was asked to create a research question from which you will formulate a research... (answered by stanbon)

sue and manuel collect model trains, sue has one more train than manuel has, together... (answered by oberobic)

Barbra and Sam make bird houses and mailboxes at their shop/ each bird house requires 3... (answered by greenestamps)

Barbra and Sam make bird houses and mailboxes at their shop/ each bird house requires 3... (answered by ikleyn)

To travel 154 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen (answered by josgarithmetic,MathTherapy)

To travel 60 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen... (answered by ewatrrr)

To travel 125 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen (answered by solver91311)

Sue walked to her school at 2 miles per hour, picked up her bicycle and rode back home at (answered by ewatrrr)

Rene can ride her bike sixty miles in one hour less time than it takes Sue to ride sixty... (answered by Paul)