Thread: I need HELP FAST!!!

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?

Originally Posted by Brooke

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?

Let jerry completes the work in x hours, and bill in (x+2)hours
now, jerry works for 3 hous and bill for two hours to complete the job
hence,



Value of x,x+2 gives your answer.

KeepSmiling
Malay

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.