SOLUTION: Allyson, Bethany and Corey have a window washing business and are regularly hired by a strip mall owner. They have found that together they can finish the job in 6 hours less time
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Question 431133: Allyson, Bethany and Corey have a window washing business and are regularly hired by a strip mall owner. They have found that together they can finish the job in 6 hours less time than when Allyson works alone, 1 hour less than when Bethany works alone, and in ½ the time than when Corey works alone. The next time they need to wash the windows, only Allyson and Bethany will be able to work. How long will it take them? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Allyson, Bethany and Corey have a window washing business and are regularly hired by a strip mall owner.
They have found that together they can finish the job in 6 hours less time than when Allyson works alone,
1 hour less than when Bethany works alone, and in ½ the time than when Corey works alone.
The next time they need to wash the windows, only Allyson and Bethany will be able to work.
How long will it take them?
:
Let a, b, c, = time for each working alone
Let the completed job = 1
:
"together they can finish the job in 6 hours less time than when Allyson works alone, + + = 1
:
" 1 hour less than when Bethany works alone," + + = 1
:
"and in ½ the time than when Corey works alone." + + = 1
cancel the 3rd c + + .5 = 1 + = 1 - .5 + = .5
