![ernestinebell3514](/avatars/34406.jpg)
ernestinebell3514
27.10.2020 •
Mathematics
Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 4 hours. Working alone, it takes the slower worker 6 hours longer to do the job than the faster worker. How long does it take each to do the job alone
Solved
Show answers
More tips
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- S Sport Playing Bowling: Rules and Advice for Novices...
- C Computers and Internet How to Properly Repartition a Hard Drive?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
Answers on questions: Mathematics
- M Mathematics Bored wanna z99m or pad1et http://quizprank.xyz/message.php?id=rhqn8w8h...
- M Mathematics Here ya go. keepin it simple. the question is in the picture. can my previous points be refunded it was only 10....
- H History What group was created to more actively pursue the goals of the women s movement?...
- M Mathematics Analyze the equations and their graphs to find the slope of each equation, the y-intercept of each equation, and the solution for the system of equations. Equation 1: y...
- H Health How to gain someones heart...
- M Mathematics Atown has two high schools. the town has only one baseball field. there are 1,000 seats available for students to watch baseball games. all of the 10th grade students at...
Ответ:
The faster one needs 6 hours, the slower one needs 12 hours.
Step-by-step explanation:
Let's define Sa and Sb as the times that each worker needs to stuff the envelopes for a political fundraising letter.
Sa is the faster one
Sb is the slower one.
Let's define 1 as a complete task.
Then:
when they both work together, they need 4 hours:
(1/Sa + 1/Sb)*4h = 1.
The slower one needs 6 more hours than the faster one:
Sb = (Sa + 6h).
We can replace this in the first equation and get:
(1/Sa + 1/(Sa + 6h))*4h = 1.
let's solve this for Sa.
1/Sa + 1/(Sa + 6h) = 1/4h.
(Sa + 6h) + Sa = Sa*(Sa + 6h)/4h.
2*Sa + 6h = Sa^2/4h + Sa*(6/4)
Then we have a quadratic equation:
(1/4h)*Sa^2 - (2/4)*Sa - 6h = 0h
(0.25*1/h)*Sa^2 - 0.5*Sa - 6h = 0h
The solutions come from the Bhaskara equation:
Then we have two solutions:
Sa = ((0.5 + 2.5)/0.5 )h = 6h.
Sb = ( (0.5 - 2.5)/0.5) = -4h
The one that makes sense is the positive option (the negative one has no physical meaning in this situation)
Then the faster worker needs 6 hours to stuff all the envelopes.
And the slower one needs 6h + 6h = 12hours to stuff all the envelopes.
So when they work together, the combined rate is:
(1/6h + 1/12h) = (2/12h + 1/12h) = (3/12h) = (1/4h)
So working together they need 4 hours to stuff all the envelopes.
Ответ:
Error in the third step.
Step-by-step explanation:
The given expression is
Step 1 :
There is no error in this step.
Step 2 :
No error in this step
Step 3 : \frac{2^{2}}{x^{12}y^{2}}
There is an error in this step.
negative exponent of 2 will be reversed and it will come in the numerator.
Step 4: \frac{4}{x^{12}y^{2}}
Therefore, there was an error in the 3rd step.