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?

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- Jun 25th 2006, 05:42 PMBrookeI 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?

- Jun 25th 2006, 08:03 PMmalaygoelQuote:

Originally Posted by**Brooke**

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 - Jun 26th 2006, 06:02 AMSoroban
Hello, Brooke!

Quote:

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.