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By: achieve_goal (offline)  Saturday, June 22 2013 @ 08:48 PM CDT (Read 530 times)  
achieve_goal

Ahmad and Halim together took 5 days to paint their house. If Ahmad and Halim work together for
2 days, followed by Ahmad working alone for 8 days, Halim will take 1moreday to complete the
remaining work. How long will Ahmad take to paint the house all by himself?

please help me.

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By: echeewh (offline)  Monday, June 24 2013 @ 03:37 AM CDT  
echeewh

Hi <achieve_goal>,

Following is my worked solution:

5A + 5H = 2A + 2H + 8A + 1H
5H - 3H = 10A - 5A
2H = 5A
H = (5/2)A {means H worked 2 1/2 times faster than A}

<work rate ratio>
H : A
5 : 2

To take A paint whole house himself,

5A + 5H = 5A + [5 × (5/2)A]
= 5A + (25/2)A
= (35/2)A = (17 1/2)A

A would take 17 1/2 days to paint the house himself.

=========

Trust this helps.

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward

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