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
Lena [83]
3 years ago
12

An experienced employee can enter tax data into a computer tree times as fast as a new employee. Working together, it takes them

9hrs. How long would it take the experienced employee working alone?
Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

12 hours

Step-by-step explanation:

Let x hours be the time needed for the experienced employee, then 3x hours is time needed for the new employee.

Then, the experienced employee completes \dfrac{1}{x} of the whole work per hour and the new employee completes \dfrac{1}{3x} of the whole work per hour.

Altogether the can complete

\dfrac{1}{x}+\dfrac{1}{3x}=\dfrac{4}{3x}

of the whole work per hour and need

\dfrac{1}{\frac{4}{3x}}=\dfrac{3x}{4}

hours to finish the whole work.

Working together, it takes them 9 hours, then

\dfrac{3x}{4}=9\\ \\3x=36\\ \\x=12\ hours

You might be interested in
A total of 691 tickets were sold for the school play they were either adult tickets or student tickets there were fifty nine few
garri49 [273]
691 = A+ S
A=S+59
691 = S+59+S
691=2S+59
691-59 = 2S +59 -59
632 = 2S
316= S
5 0
3 years ago
What is the volume of a cone that has a radius of 12 m and a height of 3 m?
vfiekz [6]
452.16 m^3
1/3 = 0.333333333
0.333333333 * 3.14 = 1.046666667
1.046666667 * 144 =150.72
150.72 * 3 = 452.16
5 0
3 years ago
3 -1 ___ 1/4 a.= b.< c.>
Alex Ar [27]
The answer to this is question is C
5 0
3 years ago
Jeanette can make 22 pompoms in 6 hours. If she works 18 hours, how many pompoms can she make?
Archy [21]
6 x 3= 18 hour
3 x 22= 66 pompoms
7 0
3 years ago
Read 2 more answers
Cons tents of proportionality
AnnyKZ [126]

Answer:

<h3>constant of proportionality - the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.</h3>
5 0
3 years ago
Other questions:
  • Donte simplified the expression below. 4(1+3i) - (8-5i)
    7·1 answer
  • Please help!!! ASAP<br><br> With all these questions
    13·1 answer
  • Write a numerical expression for each phrase. Then simplify and
    7·2 answers
  • the equation 5x +2y=20 represents the cost for a family to attend a play where x = the number of.kids &amp; y=the number of chil
    11·1 answer
  • Graph a right triangle with the two points forming the hypotenuse. Using the sides,
    12·1 answer
  • All you need is in the photo
    10·1 answer
  • Mr. Harris has batteries for his calculators. If b represents the number of batteries and c represents his calculators, how many
    5·1 answer
  • Match each equation with the correct table. y=-2/3x + 1
    7·1 answer
  • 32600÷9330?<br>Please answer:(​
    12·2 answers
  • What is the value of the expression below when w=5<br> 4w-9.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!