SOLUTION: BILL CAN PAINT A HOUSE IN 2 DAYS, GEORGE CAN PAINT THE SAME HOUSE IN 3 DAYS, AND JEFF WILL TAKE 5 DAYS. HOW LONG WILL IT TAKE IF ALL 3 WORK TOGETHER?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: BILL CAN PAINT A HOUSE IN 2 DAYS, GEORGE CAN PAINT THE SAME HOUSE IN 3 DAYS, AND JEFF WILL TAKE 5 DAYS. HOW LONG WILL IT TAKE IF ALL 3 WORK TOGETHER?      Log On


   



Question 949370: BILL CAN PAINT A HOUSE IN 2 DAYS, GEORGE CAN PAINT THE SAME HOUSE IN 3 DAYS, AND JEFF WILL TAKE 5 DAYS. HOW LONG WILL IT TAKE IF ALL 3 WORK TOGETHER?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represent the time it takes together:
1/2days + 1/3days + 1/5days = x
Let's multiply by a common denominator to get rid of the fractions:
30(1/2days + 1/3days + 1/5days) = 30x
= 15days + 10days + 6days = 30x Now add to simplify:
31days = 30x Divide both sides by 30:
31/30= x Now, 31 goes into 30 once and you have a remainder of 1, so
we can re-write the answer as: x= 1 1/30 days. For your reference, 1/30 of a days equals 7 hours and 12 minutes, so we can write: x= 1day 7hours 12minutes.