Problema Solution
An experienced bricklayer can work twice as fast as an apprentice bricklayer. After the bricklayers work together on a job for 10 h, the experienced bricklayer quits. The apprentice requires 8 more hours to finish the job. How long would it take the experienced bricklayer, working alone, to do the job?
Answer provided by our tutors
let
x = the hours that the experienced bricklayer needs to finish the job alone, x>0
1/x = the rate of the experienced bricklayer
2x = the hours that the apprentice bricklayer needs to finish the job alone
1/2x = the rate of the apprentice bricklayer
10(1/x + 1/2x) + 8*(1/2x) = 1
by solving we find:
x = 19 hr
click here to see the step by step solution of the equation:
the experienced bricklayer needs 19 hours to do the job alone.