Bricklayer apprentice wall

A bricklayer and an apprentice can build a wall together in 6 hours. Working alone, the bricklayer would finish 5 hours sooner than the apprentice. How long would it take the bricklayer to build the wall by himself?

Final Answer:

a =  10 h

Step-by-step explanation:

6   (1/a + 1/b) = 1 a = b5  6   (1/a + 1/(a+5)) = 1  6 ((a+5)+a)=(a+5) a  6 ((a+5)+a)=(a+5) a a2+7a+30=0 a27a30=0  p=1;q=7;r=30 D=q24pr=7241(30)=169 D>0  a1,2=2pq±D=27±169 a1,2=27±13 a1,2=3.5±6.5 a1=10 a2=3  a=a1=10=10 h   Verifying Solution:  b=a+5=10+5=15 h t=6 (a1+b1)=6 (101+151)=1

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