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Andrew can paint the neighborhood's house 5 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 4 days. How long would it take each to paint the house?

 

It would take Andrew___ days

It would take Bailey___days

 

Thank You

yojaymarojas  May 14, 2017
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Call the portion of the house that Bailey can paint in one day =   1 / x

Call the portion of the house that Andrew can paint in one day  =   5* (1 / x)  =

 5 / x 

 

And  we know that

 

Rate per day * number of days  =  1 whole job  .....so, working together, we have

 

(1/x) *4  + (5/x) * 4  = 1

 

4/x  +  20/x   = 1

 

(24) / x  = 1   →   x  =  24

 

So.....Bailey  can paint (1/24) of the house in one day = 24 days to paint the whole house by himself

And  Andrew can paint  (5/24)  of the house in one day =  24/5  =  4.8  days to paint the house by himself 

 

 

cool cool cool

CPhill  May 14, 2017
edited by CPhill  May 14, 2017
edited by CPhill  May 14, 2017

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