(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Dear Helpers,

This is the question:

It takes 30 days for 6 trained workers to complete a painting job. The same painting job can also be completed in 30 days by a group of 10 untrained workers. How long would a group of 4 untrained and 4 trained workers to complete the same painting job?

2. Relevant equations

3. The attempt at a solution

This is my working:

Rate of working based on 30 days (Trained)= (1/6)

Rate of working based on 30 days (Trained)= (1/10)

Combined rate of working based on 30 days = (1/6)+(1/10)=(4/15)

Amount of work done by 4 set of (1 Untrained + 1 trained) workers express in fraction=

(4/15) x 4=(16/15)

(16/15) -----30days

1 whole ------ 30 x (15/16)=28.125

therefore answer = 29 days

Is my working logical or can be better?

Thank you

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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