Answer:
Step-by-step explanation:
If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.
If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is
[tex]\frac{1}{3}+\frac{1}{5}=\frac{1}{x}[/tex] and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:
[tex]15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x})[/tex] and doing that gives us
5x + 3x = 15 and
8x = 15 so
x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.
