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
Furkat [3]
3 years ago
7

One custodian cleans a suite of offices in 3 hours. When a second worker is asked to join the regular custodian, the job takes o

nly 2 hours. How long does it take the second worker to do the same job alone?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

  6 hours

Step-by-step explanation:

Let x represent the time in hours it takes the second worker to do the job alone. Then each hour, 1/x of the job gets done by that worker. Similarly, the regular custodian accomplishes 1/3 of the job in each hour. Working together, they do 1/2 of the job each hour:

  1/3 +1/x = 1/2

  1/x = 1/2 -1/3 = 3/6 -2/6 = 1/6 . . . . subtract 1/3 and simplify

  x = 6

It takes the second worker 6 hours to do the same job alone.

You might be interested in
What is a rule that describes the translation
uranmaximum [27]

Answer:

every point of the object must be moved in the same direction

Step-by-step explanation:

each point the same distance horizontally and the same distance vertically.

7 0
2 years ago
Please help me ASAP.
Sladkaya [172]
Sending help your way :)
8 0
3 years ago
Give the following arithmetic sequence, determing the next three terms
shtirl [24]

Answer:

0.75,1,1.25

Step-by-step explanation:

increase in .25 every time.

7 0
2 years ago
Find the reference angel
Lady bird [3.3K]
50° heheheheehehehehe
3 0
3 years ago
-0.75 7/8 and - 5/8 in order from least to greatest
VMariaS [17]
Hello there!

The answer is:
-5/8
-0.75
7/8
5 0
2 years ago
Other questions:
  • Which statements are true about circle Q? Select three options. The ratio of the measure of central angle PQR to the measure of
    12·2 answers
  • The sum of 6 consecutive integers is 165. What is the least of the 6 integers?
    10·1 answer
  • A carnival sold 135 bottles of juice in one day. They sold 1/3 of the bottles in the first hour and 2/5 of the bottles in the se
    11·1 answer
  • If f(x) = x3 + 4x and g(x) = -2x + 1, then f(g(3))= ?
    12·1 answer
  • You calculate the correlation between height and weight for a simple random sample of 50 students from your college. Another stu
    14·1 answer
  • When the production manager finds the average life of her bulb-lifetime data, this is an example of what phase of inferential st
    14·2 answers
  • Find a solution to the linear equation 6x+y=6
    10·1 answer
  • Find the volume of the following square pyramid​
    14·2 answers
  • Find all the integer solutions of each system of inequalities.<br> 3-18x &lt; 0<br> 0.2-0.1x &gt; 0
    11·2 answers
  • Identity the triangle congruence postulate (SSS,SAS,ASA,AAS, or HL) that proves the triangles are congruent. I will mark brainli
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!