SOLUTION: a welder requires 25 hours to do a job. after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours. How long would

Question 583032: a welder requires 25 hours to do a job. after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours. How long would it take the apprentice, working alone, to do the job
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a welder requires 25 hours to do a job.
after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours.
How long would it take the apprentice, working alone, to do the job
:
Let a = time required by the apprentice to do the job
Let the completed job = 1
:
From the information given, we see the apprentice worked a total of 27 hrs
:
+ = 1
multiply by 25a, results
10a + 25(27) = 25a
10a + 675 = 25a
675 = 25a - 10a
675 = 15a
a =
a = 45 hrs, the apprentice working alone
RELATED QUESTIONS
a welder requires 24 hours to do a job. after the welder and apprentice work on the job... (answered by josgarithmetic,ikleyn)

A welder requires 25 hrs to do a job on his own. After a welder and apprentice work on... (answered by ankor@dixie-net.com)

A welder requires 24 h to do a job. After the welder and an apprentice work on the job... (answered by richwmiller)

A welder requires 24 h to do a job. After the welder and an apprentice work on the job... (answered by ankor@dixie-net.com)

A welder requires 24 h to do a job. After the welder and an apprentice work on the job... (answered by josgarithmetic)

A welder can complete a job in 20 hours. The welder and her apprentice work together on... (answered by josmiceli)

Two welders who work at the same rate are welding the girders of a building. After they... (answered by ankor@dixie-net.com)

A roofer requires 10 h to shingle a roof. After the roofer and an apprentice work on a... (answered by ankor@dixie-net.com)

A roofer requires 16 h to shingle a roof. After the roofer and an apprentice work on a... (answered by richwmiller)