SOLUTION: Together, Mary and John can write a particular type of computer program in 15 hours. Alone, Mary can do the job 3 hours faster than John. Find the time that each person takes to w

Question 878209: Together, Mary and John can write a particular type of computer program in 15 hours. Alone, Mary can
do the job 3 hours faster than John. Find the time that each person takes to write a computer program.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working
Together:
( 1 program ) / ( 15 hrs )
John alone:
( 1 program ) / ( t hrs )
Mary alone:
( 1 program ) / ( t - 3 )
---------------------

Multiply both sides by

-----------------------
Solve for with quadratic formula
then find and

RELATED QUESTIONS
Together, Lateesha and John can write a particular type of computer program in 15 hours.... (answered by scott8148)

hi i need help with this problem. Together, Lateesha and John cna write a particular... (answered by ptaylor)

Joe and Mary working together can rake a lawn in 2 hours. Joe can do the job alone in 3... (answered by stanbon)

Jane and Daphne work for a computer software company. Together they can write a... (answered by checkley71)

John can do a piece of work in 6 hours. With the help of mary he completes the job in 4... (answered by ewatrrr)

Susan and Mary working together can rake the lawn in 2 hours. Susan can do the job alone (answered by Paul)

it takes mary 3 hours to do a job that it takes jane. If they work together, they can... (answered by richwmiller)

it takes mary 3 hours more to do a job than it takes jane. if they work together,they can (answered by josmiceli)

If Mary and Carter can paint a house in 5 hours together and Mary can do the same job in... (answered by nerdybill)