1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesna [10]
3 years ago
5

Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the

room if they worked together?
Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0

Answer:

2 1/4 hours

Step-by-step explanation:

Okay, so- The first thing I did was see how much they got done per hour. Like this:

Sally  ⇒

3 hours = 1 room

1 hour = 1/3 of the room

Steve ⇒

9 hours = 1 room

1 hour = 1/9 of the room

Sally + Steve ⇒  

1 hour = 1/3 + 1/9 = 3/9 + 1/9 = 4/9

So, they get 4/9 of a room done in 1 hour.

Number of hours needed ⇒

1 ÷ 4/9 = 2 1/4  

Answer: They need 2 1/4 hours to paint the room.

Archy [21]3 years ago
7 0
You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
You might be interested in
Two cars are traveling in opposite directions at different rates. Two hours later, the cars are 110 mi apart. Express the distan
Andre45 [30]

Answer:

110 - x

Step-by-step explanation:

8 0
2 years ago
Find the area of the shaded region please.
Ira Lisetskai [31]
The first shaded triangle is 144 cm. 
7 0
3 years ago
Last year, Lein earned $1,600 more than her husband. Together they earned $48,100. How much did each of them earn?
Illusion [34]
Lein earned $25,650
Her husband earned $22,450
5 0
3 years ago
Which go with which
katrin2010 [14]

Answer:

There are 88 adults and 132 children

Step-by-step explanation:

5 0
3 years ago
The Hamid family installed a cylindrical pool in their backyard. The
Alex787 [66]

Answer:

4,046.4 ft^{2}

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Is 10% of 10% of 100 the same as 20% of 100?
    12·1 answer
  • Twice a number increased by three times the number?
    10·2 answers
  • (07.06 MC) The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
    12·2 answers
  • Is n=3 is a solution to the equation or 2n=6
    14·2 answers
  • Solve for x:<br><img src="https://tex.z-dn.net/?f=%28x%20%20-%205%29%5E%7B2%7D%20%20%3D%209" id="TexFormula1" title="(x - 5)^{2
    9·2 answers
  • 1. Which of the following points lie on the line y = 7x – 16?
    6·1 answer
  • roblem: Report Error A partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers,
    6·1 answer
  • A down arrow is drawn with its tip at (2, 0). Then it undergoes a translation described bythe directed line segment (−3, 1). Wha
    5·1 answer
  • Which of the following statements says that a number is between -5 and 5
    9·2 answers
  • Please help me I will give you extra points and whoever the first one to answer I mark you with the brain thing. 7
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!