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
lys-0071 [83]
3 years ago
7

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

0 more days to finish the job than the other worker
Mathematics
2 answers:
Lorico [155]3 years ago
8 0

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

Jobisdone [24]3 years ago
8 0

Answer:7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days. Hope this helps! jul15

Step-by-step explanation:

You might be interested in
How you write a inequality and then graph the answer?
Simora [160]

Answer:

To write an inequality, you need to write a number on the number line, and to graph it, you need to write another inequality and figure out what the answer is.

hope this helped.

3 0
2 years ago
Given the following proportion, find x<br><br> 3/7 = 6/x
Novosadov [1.4K]

Answer:

x = 14

Step-by-step explanation:

3/7 = 6/x

3(x) = 6(7)

3x = 42

x = 14

4 0
3 years ago
Read 2 more answers
Suppose A and B are independent events. If P(A)=0.2 and P(B)=0.6, what is P(A^B)?
lawyer [7]
OK so you want the probabilty of A and B occurring.  Independet event probabilities are multiplied so its 0.2 * 0.6 = 0.12

b
3 0
3 years ago
Read 2 more answers
Multiply.
agasfer [191]
<span>-13950/1 there you go!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

</span>
7 0
3 years ago
Read 2 more answers
A car dealership sold 950 cars last year. This year the dealership sold 817 cars. What is the percent decrease in the number of
Montano1993 [528]

Answer:

817/950=.86

.86*100=86

100%-86%=14%

There is a 14 percent decrease.

Step-by-step explanation:

please mark this answer as the brainlest

3 0
2 years ago
Read 2 more answers
Other questions:
  • I'm Stuck on this problem
    6·1 answer
  • The sum of three consecutive integers is 18. Write an equation for this situation and then find the three integers.
    12·2 answers
  • pet store has 18 hamsters in each cage. how many hamsters are there in six cages? use and area model to solve
    9·1 answer
  • Find the missing measurement (indicated by a "?").
    10·1 answer
  • Point C'(-4,-3) is the image of C(-2, -3) under a translation.
    5·1 answer
  • How can I solve this problem
    5·2 answers
  • Please help I’ll give brainliest
    10·2 answers
  • Use the number line​ below, where RS = 5y + 2, ST = 3y + 6, and RT = 48
    10·1 answer
  • In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.​
    12·1 answer
  • 4. Find the slope of the line that posses
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!