SOLUTION: Haileys father can paint a house 1.5 times faster then Hailey can. they work together on one house and it takes them 14 hours. How many hours will it take Hailey to paint a house

Question 1035313: Haileys father can paint a house 1.5 times faster then Hailey can. they work together on one house and it takes them 14 hours.
How many hours will it take Hailey to paint a house working alone
Found 3 solutions by josgarithmetic, ankor@dixie-net.com, ikleyn:
Answer by josgarithmetic(39799)   (Show Source): You can put this solution on YOUR website!

This is the first analysis of the description for their rates of work: PERSONS RATE AS JOBS/HOURS Father Hailey Both Together

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Haileys father can paint a house 1.5 times faster then Hailey can.
they work together On one house and it takes them 14 hours.
how many hours will it take Hailey to paint a house working alone?
:
let t = time for Father to paint the house alone
then
1.5t = time for Hailey to do it
:
let the completed job = 1
+ = 1
multiply equation by 3t, cancel the denominators
3(14) + 2(14) = 3t
42 + 28 = 3t
70 = 3t
t = 3/70
t = 23 hrs for Father to paint the house
:
" how many hours will it take Hailey to paint a house working alone"
1.5 * 23 = 35 hrs for Hailey
Answer by ikleyn(53763)   (Show Source): You can put this solution on YOUR website!
.
Haileys father can paint a house 1.5 times faster then Hailey can. they work together on one house and it takes them 14 hours.
How many hours will it take Hailey to paint a house working alone
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let r be the Haileys rate of work, measured in job-per-hour. Then Haileys father's rate of work is 1.5*r, measured in job-per-hour. Their combined rate of work (when they are working together) is r + 1.5r = 2.5r. From the condition, 2.5r = . Hence, r = = . It means that it takes Haileys 35 hours to complete the job. To solve this problem, you do not need to solve quadratic equations.

RELATED QUESTIONS
jack and jill can paint a house in 2 hours if they work together. if jill can paint 1.5... (answered by richwmiller)
If one painter can paint a house in 5 days and another painter can paint the same house... (answered by ewatrrr)
One painter can paint a house in 40 hours and another painter can paint the same house in (answered by edjones)
PLEASEEEEEE HELPPPPP If paul takes 10hours to paint a house , and wiliam takes 5 hours... (answered by stanbon)
Julius can paint a house three (3) times faster than Ruben. Working together, they can... (answered by stanbon)
Sally can paint a house in 4 hours and Joe can paint the same house in 6 hours. If they... (answered by )
Sally can paint a house in 4 hours and Joe can paint the same house in 6 hours. If they... (answered by usyim88hk,KtipsayFoozeBamps,timofer)
Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it... (answered by ewatrrr)
Jessie and Mark are planning to paint a house together. Jessie thinks that if he works... (answered by jorel1380,MathTherapy)