1. Set these up as ratios "How much of the room painted : Hours".
Sally
Steve
Together
.
So together they will take hours.
Can someone pleace explain how to solve these problems?
The problem statement, all variables and given/known data
Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
The problem statement, all variables and given/known data
One hose can fill a goldfish pond in 18 minutes, and two hoses can fill the same pond in 14 minutes. Find how long it takes the second hose alone to fill the pond.
A slightly different point of view: when people or things "work together", their rates of work add.
"Sally can paint a room in 9 hours"
so Sally's rate of work is 1/9 "room per hour".
"it takes Steve 3 hours to paint the same room"
so Steve's rate of work is 1/3 "room per hour".
Together they work at "room per hour". Invert that to get "hours per room".
"One hose can fill a goldfish pond in 18 minutes"
so that hose works at 1/18 "pond per minute". Since we want to find how long it would take the second hose to fill the pond, call that time "x" minutes. The
second hose works at 1/x "pond per minute".
" and two hoses can fill the same pond in 14 minutes."
so
Solve that for x. I recommend multiplying both sides of the equation by the "least common denominator", 2(7)(9)x= 126x.