it takes Bill 2 hours longer to do a job than jerry. they work together for 2 hours; then jerry takes over and completed the job in 1 hour. how long would it take arch along to do the job?
Hello, Brooke!
It takes Bill 2 hours longer to do a job than Jerry.
They worked together for 2 hours, then Jerry took over and completed the job in 1 hour.
How long would it take each alone to do the job?
Malay gave you an excellent explanation.
Let me give you my baby-talk version . . .
It takes Jerry hours to do the job alone.
. . In one hour, he can do of the the job.
He worked 3 hours, so he completed of the job.
It takes Bill hours to do the job alone.
. . In one hour, he can do of the job.
He worked 2 hours, so he completed of the job.
Together, they competed the job ("1 whole job").
. . And there is our equation: .
Multiply through by the LCD:
. .
We have: .
. . which simplifies to the quadratic: .
. . Quadratic Formula: .
. . and has the positive root: .
Therefore: Jerry takes hours to do the job alone
. . . . and: Bill takes hours to do the job alone.