SOLUTION: Please help me on this question Thank You Question: Four Employees Washed 20 Cars in 5 Hours. How long would it take for five employees to wash the same number of vehicles?

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Question 1150854: Please help me on this question Thank You
Question:
Four Employees Washed 20 Cars in 5 Hours. How long would it take for
five employees to wash the same number of vehicles?
Please Solve using Proportions Thanks so very much! Happy New Year

Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
One employee would take 4 times as long to
wash the same number of cars, so
1 employee washes 20 cars in 20 hrs
1/4 = 5/20
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5 times as many employees only need 1/5 of
that time to wash the same number of cars. so
5 employees wash 20 cars in 4 hrs
5/1 = 4/20
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2020 -yeah

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rate for 1 employee, r cars per hours
unknown time for five employees of the question, x hours

Basic formula Rt=q
R for rate
t for time
q for amount done 

                    RATE     TIME      QUANTITY CARS
FOUR EMPLOYEES      4r        5           20
FIVE EMPLOYEES      5r        x           20

Both groups wash the same quantity of cars.
highlight_green%284r%2A5=5r%2Ax%29
Same factor, r, on both sides

4%2A5r=5rx

4%2A5=5x

highlight%284=x%29-------------------four hours