SOLUTION: Sam and Pat are painting a room. Sam can paint the room in 3 hours, Pat can paint the room in 5 hours. How long will it take to paint the room if they paint together.
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: Sam and Pat are painting a room. Sam can paint the room in 3 hours, Pat can paint the room in 5 hours. How long will it take to paint the room if they paint together.
Log On
Question 360161: Sam and Pat are painting a room. Sam can paint the room in 3 hours, Pat can paint the room in 5 hours. How long will it take to paint the room if they paint together. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Sam and Pat are painting a room. Sam can paint the room in 3 hours, Pat can paint the room in 5 hours. How long will it take to paint the room if they paint together.
----
Sam rate = 1/3 job/hr
Pat rate = 1/5 job/hr
---
Together rate = 1/x job/hr
-----
Equation:
rate + rate = together rate
1/3 + 1/5 = 1/x
5x + 3x = 15
8x = 15
x = 15/8
x = 1 hr and 7/8(60 min)
---
x = 1 hr 52.5 minutes (time for them to do the job together)
================================
Cheers,
Stan H.
================