Question
Please help me ASAP!!! I HAVE NO IDEA HOW TO DO THIS!!!!
John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in
12 hours. If Rick works alone, he can paint the room in 15 hours. Write an equation comparing the
group rate to the sum of the individual rates. Then find how long it will take Molli to paint the room if
working alone.
a. What is the equation?
b. What is the lowest common denominator for the equation in part a?
c. Show all work below in solving equation from part a.
John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in
12 hours. If Rick works alone, he can paint the room in 15 hours. Write an equation comparing the
group rate to the sum of the individual rates. Then find how long it will take Molli to paint the room if
working alone.
a. What is the equation?
b. What is the lowest common denominator for the equation in part a?
c. Show all work below in solving equation from part a.
Answers
John's rate = 1/12
Rick's rate = 1/15
Molly's rate = 1/x
cominged rate = 1/12 + 1/15 + 1/x
= (5x + 4x + 60)/60x
so 1 / ( (5x + 4x + 60)/60x ) = 6
60x/(9x + 60) = 6
54x + 360 = 60x
x = 60
Molly's cand do the room in 60 hours by herself
check: 1/12 + 1/15 + 1/60 = 1/6 , as needed
Rick's rate = 1/15
Molly's rate = 1/x
cominged rate = 1/12 + 1/15 + 1/x
= (5x + 4x + 60)/60x
so 1 / ( (5x + 4x + 60)/60x ) = 6
60x/(9x + 60) = 6
54x + 360 = 60x
x = 60
Molly's cand do the room in 60 hours by herself
check: 1/12 + 1/15 + 1/60 = 1/6 , as needed
THANK YOU SO MUCH!!!!!
a. 1/T1 + 1/T2 + 1/T3 = 1/6,
1/12 + 1/15 + 1/T3 = 1/6.
b. LCD = 60.
c. 1/12 + 1/15 + 1/T3 = 1/6,
1/T3 = 1/6 - 1/12 - 1/15,
1/T3 = 10/60 - 5/60 - 4/60 = 1/60,
T3 = 60 hrs. = Molli's time.
1/12 + 1/15 + 1/T3 = 1/6.
b. LCD = 60.
c. 1/12 + 1/15 + 1/T3 = 1/6,
1/T3 = 1/6 - 1/12 - 1/15,
1/T3 = 10/60 - 5/60 - 4/60 = 1/60,
T3 = 60 hrs. = Molli's time.
Thank you!:-)
Related Questions
John, Rick, and Molli paint a room together.
What is the hourly rate for John, Rick, and Molli (wh...
Task 2
John, Rick, and Molli paint a room together in 4 hours. John can paint a room alone in 8 hou...
Task 2
John, Rick, and Molli paint a room together in 4 hours. John can paint a room alone in 8 hou...
Task 2:
John, Rick, and Molli paint a room together in 4 hours. John can paint a room alone in 8 ho...