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Schach [20]
3 years ago
9

Write an equation that can be used to solve the problem. Then answer the question asked. A group of college students are volunte

ering for Habitat for Humanity during their spring break. They are putting the finishing touches on a house they built. Working alone, Dale Horton can paint a certain room in 3 hours. Kathy Garcia can paint the same room in 9 hours. How long will it take them working together to paint the room?
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

Required equation : \frac{1}{t}=\frac{1}{3}+\frac{1}{9}

Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

Step-by-step explanation:

It is given that Dale Horton can paint a certain room in 3 hours.

One hour woks of Dale Horton = 1/3

Kathy Garcia can paint the same room in 9 hours.

One hour woks of Kathy Garcia = 1/9

Let together they can paint the same room in t hours.

One hour woks of both = 1/t

\frac{1}{t}=\frac{1}{3}+\frac{1}{9}

\frac{1}{t}=\frac{3+1}{9}

\frac{1}{t}=\frac{4}{9}

After reciprocal we get

\frac{t}{1}=\frac{9}{4}

t=2.25

1 hour = 60 minutes.

0.25 hour = 15 minutes.

Therefore, together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

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kolezko [41]
2(-3)-2
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Hope this helped

3 0
4 years ago
Detailed explanation would be appreciated
valina [46]
So the bus is initially going at 39km/hr but we want it in minutes, so divide by 60 to get that the bus goes .65 km/min. It does this for 20 minutes so multiply .65 by 20 and it has gone 13km in the first 20 minutes. It then goes 12km/hr, again divide by 60 to get .2km/min, it goes this fast for 10 minutes so it goes 2km in 10 minutes. At this point the bus has gone 15km, we know that his house is 30km away from the school so this tells us the bus will go 30km/hr (.5km/min) for 15km, taking it 30 minutes. It takes the bus one hour to get home.
His mom travels at a constant speed of 45km/hr (0.75km/min) the whole 30km to her home. Take the 30km and divide it by 0.75 to find that it took her 40 minutes to drive home BUT she didn't leave the school until 30min after the bus left, so her total time is 1hr10min.
She will not get home in time, she will be 10min late  

6 0
3 years ago
Please help ! ASAP step by step explanation please ​
fredd [130]

Answer:

0

Step-by-step explanation:

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3 0
2 years ago
Simplify <br> 15-1/2 (10z + 6) – 25z<br> plz hurry
kolezko [41]

Answer:

-5z -13 is answer

Step-by-step explanation:

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Combine Like Terms:

=15+−5z+−3+−25

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7 0
3 years ago
Read 2 more answers
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Masteriza [31]

Answer:

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Step-by-step explanation:

Givens(What the question tells us):

m = 3(There are 3 multicolored bushes)

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r = y = p (total red bushes equals total yellow bushes which also equals total pink bushes)

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Since we are solving for the amount of yellow the answer is:

4 yellow rosebushes

5 0
3 years ago
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