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
I am Lyosha [343]
3 years ago
11

Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t

he task, how long will it take each of them to do the job alone?
Mathematics
1 answer:
Lesechka [4]3 years ago
4 0
So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation: 

\frac{1}{2x} +  \frac{1}{x} =  \frac{1}{6}

Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes: 

\frac{3}{6x} +  \frac{6}{6x} =  \frac{x}{6x}

Now, we can get rid of the denominators, and we get:

3+6=x

So, x= 9

Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:

2(9)=18

Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.

Hope this helps :) 










You might be interested in
A Jersey is $35 and is 30% off. How much will you save?<br><br> PLEASE HURRY WITH THE ANSWER !
yanalaym [24]

Answer:

You will save $24.50

Step-by-step explanation:

because 35 x0.3= 10.50, therefore 35 - 10.50=24.50 the answer

4 0
2 years ago
A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12
Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

4 0
3 years ago
Simplify this expression: 4(x+3)+3(5-x)
prisoha [69]

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

8 0
2 years ago
Read 2 more answers
Find an equation of line with given slope and y-intercept. Slope= -6 y-intercept= (0,-10) The equation of the line is: ?
GREYUIT [131]

Step-by-step explanation:

so, we find the slope-intercept form :

y = ax + b

"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).

we have the slope : -6

and the given point (0, -10) gives us already the y-value when x = 0 : -10

therefore, the equation is

y = -6x - 10

4 0
1 year ago
Sarah has $55.00 to spend
GenaCL600 [577]
The equation that models the relationship between the amount of money Sarah has left is 55- 0.65x= y
8 0
3 years ago
Other questions:
  • Heyy, Just click the picture! :D<br><br> :)
    9·2 answers
  • There are 620 students and 31 teachers at the Turner Middle School.There are 950 students and 38 teachers at the Green Middle Sc
    9·2 answers
  • 72 21/64 being simplified as a fraction <br> if right ill do 5 star
    5·1 answer
  • Find the length of a picture frame whose width is 3 inches and whose proportions are the same as a 9-inch wide by 12-inch long p
    13·1 answer
  • 17) -8 square root 128
    10·2 answers
  • Convert 50000 cm to m​
    5·2 answers
  • GIVING 11 POINTS AWAY PLEASE HELP ME ASAP!!!! PLEASE DONT GUESS CAUSE THIS IS A TEST QUESTION
    8·2 answers
  • Please help ASAP thank uob so much good day
    7·2 answers
  • The speed of a baseball pitcher's fastball is 84.2 miles per hour. His fastball is 10%
    5·1 answer
  • What does 1/4 of a can of coffee cost if 4 cans of coffee cost $2. 40?.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!