SOLUTION: Company A is known to take 4 days longer than Company B to install the plumbing in a particular style of house. Using both companies together, it takes 5 days to install the plumb
Algebra.Com
Question 1114450: Company A is known to take 4 days longer than Company B to install the plumbing in a particular style of house. Using both companies together, it takes 5 days to install the plumbing. How long would it take each company alone to install the plumbing?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in days for company B
to install the plumbing
= time in days for company A
to install the plumbing
---------------------------------------
The rate of working for both companies together:
[ 1 plumbing job ] / [ 5 days ]
Add rates for A and B to get rate working together
Multiply both sides by
Complete the square
---------------------------------
Company A takes 12.385 days
Company B takes 8.385 days
---------------------------------
check:
OK
RELATED QUESTIONS
Antonio and Jeremy work for a plumbing company that was recently awarded a contract to... (answered by jorel555,ikleyn)
1. Paul’s Plumbing charges a flat fee of $90 plus $40/h for a plumbing job. Perfect Pipes (answered by josmiceli)
Company X can install chairs in a theater in 10 hours. Company Y can install them in 15... (answered by venugopalramana)
Company X can install chairs in a theater in 10 hours. Company Y can install them in 15... (answered by fazlerabbi)
Company X can install chairs in a theater in 10 hours. Company Y can install them in 15... (answered by checkley71)
A vinyl siding company claims that the mean time to install siding on a medium-size house (answered by stanbon)
two companies working together can clear a parcel of land in 9 hours. Working alone, it... (answered by Jc0110,MathTherapy)
A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while... (answered by drk)
Two companies working together can clear a parcel of land in 27 hours . Working alone it... (answered by greenestamps,richwmiller)