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
DanielleElmas [232]
3 years ago
7

Three postal workers can sort a stack of mail in 20 ​minutes, 30 ​minutes, and 60 ​minutes, respectively. Find how long it takes

them to sort the mail if all three work together.
Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer: 10 minutes

Step-by-step explanation:

Given : Three postal workers can sort a stack of mail in 20 ​minutes, 30 ​minutes, and 60 ​minutes, respectively.

Let T be the time taken by all of them when they working together.

Then , we have the following equation :-

\dfrac{1}{T}=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{60}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{3+2+1}{60}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{6}{60}=\dfrac{1}{10}\\\\\Rightarrow T=10

Hence, the time taken by all of them when they working together = 10 minutes.

You might be interested in
To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. H
snow_tiger [21]

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

4 0
3 years ago
What does -2 raised by 10 equal to?
slamgirl [31]

The problem would equal 8

6 0
3 years ago
Read 2 more answers
A baseball stadium has 38,496 seats. Round to the nearest thousand , how many seats is this
postnew [5]
38,496 rounded to the nearest thousand is 38,000.
4 0
3 years ago
Read 2 more answers
If you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax
netineya [11]

After the tax and the tip are counted, we conclude that each friend must pay $30.

<h3>How much should each person pay?</h3>

We know that the meal cost is $72.50.

Now, there is a 6.75% sales tax and a 15% tip on the waiter (we assume that the tip is based on the total meal cost, after the tax is applied).

Then the total meal cost is:

C = $72.50*( 1 + 6.75%/100%) = $72.50*(1 + 0.0675) = $77.39

Now we also need to add the tip, which is a 15% of that, so the total cost with the tip included is:

C' = $77.39*(1 + 15%/100%) = $88.998 = $90

(Where we rounded up).

Then, if there are 3 friends, each one must pay:

$90/3 = $30

Each friend must pay $30.

If you want to learn more about taxes:

brainly.com/question/1775528

#SPJ1

4 0
1 year ago
Help please ................
tigry1 [53]

Answer:

187.25

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • GIVEN M || N FIND X.....PLEASE HELP ME ASAP
    8·1 answer
  • Find the value of x that will make l and m 7x-7, 4x+14
    11·1 answer
  • Four consecutive integers just greater than -9
    14·2 answers
  • Iv) You have 10 gallons of lemonade to sell (1 gallon = 3785 cm3). Each customer
    10·2 answers
  • Layla is driving to a concert and needs to pay for parking. There is an automatic fee of
    9·2 answers
  • Slope is -2 and (1,4) What is the equation of the line in point slope form?
    5·1 answer
  • The birth weights (in kilograms) of 5 elephants, selected randomly, are 133, 120, 97, 106, 124 (Source: www.elephant.se). Below
    14·1 answer
  • Evaluate 11.3p + 10.7r when p = 3 and r = 4
    8·1 answer
  • Write the fraction<br> 2/7<br> as an equivalent fraction with the given denominator 28.
    5·1 answer
  • What is m C in pentagon ABCDE?<br>​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!