An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it
1 answer:
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
and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:
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.
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See below for a plot of the equation.
The y intercept is the y location where x=0 and can be found by solving 6y=180, which is y=30.
Likewise, the x intercept follows from y=0, so 4x=180 => x=45.
The interpretation of the intercepts is: what is the plan if you go for all small tables (ie., y=0) or all big tables (x=0). The answer is: you can rent either 30 small tables or 45 big ones.
All the other points on the line represent some mix of small and big tables (of course, x and y must be integer because you can't rent half tables).
