+0  
 
0
322
1
avatar+52 

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
 #1
avatar+88899 
+1

 

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

30 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.