SOLUTION: One painter works 1 1/2 times as fast as a second painter.? Find their individual times for painting a room if, working together, they can complete the job in 4 hours.

Question 593903: One painter works 1 1/2 times as fast as a second painter.?
Find their individual times for painting a room if, working together, they can complete the job in 4 hours.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One painter works 1 1/2 times as fast as a second painter.?
Find their individual times for painting a room if, working together, they can complete the job in 4 hours.
:
Let t = time required by one painter to do the job
then
1.5t = time required by the other painter
:
Let the completed job = 1 (a painted room)
:
A shared work equation
+ = 1
Multiply by 3t to clear the denominators
3t* + 3t* = 3t(1)
Cancel the denominaors
3(4) + 2(4) = 3t
12 + 8 = 3t
t =
t = 6.67 hrs working alone
and
1.5*6.66 = 10 hrs the slow painter working alone

RELATED QUESTIONS
Please help! One painter works 1 1/2 times as fast as another. Find their individual... (answered by suresh)

2 painters painted 60 rooms in 1 week. Painter A painted 4 times as fast as painter B.... (answered by josmiceli)

A painter hires help for a job, if the painter works 4 times as fast as his assistant ,... (answered by htmentor)

an experienced painter can paint a fence twice as fast as an inexperienced painter.... (answered by jim_thompson5910)

One painter takes 6 hours longer to paint a room than does a second painter. Working... (answered by stanbon)

Painters A and B can paint a wall in 10 hours when working at the sametime. Painter B... (answered by ewatrrr)

Painters A and B can paint a wall in 10 hours when working at the same time. Painter B... (answered by jorel1380)

3 painters start painting a house 1: each take 10 hours to finish entire house together... (answered by richwmiller)

An experienced painter can paint a fence twice as fast as an inexperienced painter:... (answered by scott8148,ankor@dixie-net.com)