SOLUTION: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant, working alone, to

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant, working alone, to      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 25627: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant, working alone, to cover the parking lot with asphalt?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant, working alone, to cover the parking lot with asphalt?
----------------------------------------------------------------------------------------
A worker can cover a parking lot with asphalt in ten hours.
HENCE IN 1 HOUR HE CAN DO 1/10 JOB.
With the help of an assistant, they can do the job in six hours.
HENCE IN ONE HOUR BOTH (HE+ASSISTANT)CAN DO 1/6 JOB
How long would it take the assistant, working alone, to cover the parking lot with asphalt
HENCE IN 1 HOUR ASSISTANT ALONE CAN DO 1/6 - 1/10 JOB =(5-3)/30=2/30=1/15 JOB
HENCE ASSISTANT ALONE CAN DO 1 JOB IN 1/(1/15) HOURS = 15 HOURS.