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
nataly862011 [7]
2 years ago
8

There are two groups of people, three in each, for painting a wall. The numbers in the next two sentences express the time (in h

ours) spent on painting. In group A, Alex 2.5, Adam 3.6, and Antimo 4.7. In group Z, Zairo 2.2, Zeno 3.2, and Zubro 4.9. Estimate the total time for group A and for group Z when all three workers in each group work together. Which group can paint the wall faster and why do you think so?
(your answer is two numbers
(two estimates) in one sentence where you will explain your reasoning)​
Mathematics
1 answer:
ss7ja [257]2 years ago
6 0

Answer:

1. The total time taken for group A to paint the wall together is 1.12 hours

2. The total time taken for group Z to paint the wall together is 1.03 hours

3. group Z can paint the wall faster

Step-by-step explanation:

The time spent on painting are;

Group A

Alex = 2.5 hours

Adam = 3.6 hours

Antimo = 4.7 hours

1. We have for group A

Alex's paint rate = 1 wall in 2.5 hours = 1/2.5 wall/hour

Adam's paint rate = 1 wall in 3.6 hours = 1/3.6 wall/hour

Antimo's paint rate = 1 wall in 4.7 hours = 1/4.7 wall/hour

When the three workers work together, we have;

1/2.5 wall/hour + 1/3.6 wall/hour + 1/4.7 wall/hour = 3767/4230 wall/hour

Therefore, the time for the three workers of group A to paint one wall is given as follows;

Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{3767}{4230} wall/hour}  = 1\tfrac{463}{3767} hours

The total time taken for group A to paint the wall together = 1.12 hours

2. The data for group Z is as follows;

Zairo = 2.2 hours

Zeno = 3.2 hours

Zubro = 4.9 hours

We have for group Z

Zairo's paint rate = 1 wall in 2.2 hours = 1/2.2 wall/hour

Zeno's paint rate = 1 wall in 3.2 hours = 1/3.2 wall/hour

Zubro's paint rate = 1 wall in 4.9 hours = 1/4.9 wall/hour

When the three workers work together, we have;

1/2.2 wall/hour + 1/3.2 wall/hour + 1/4.9 wall/hour = 8375/8624 wall/hour

Therefore, the time for the three workers of group Z to paint one wall is given as follows;

Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{8375}{8624} wall/hour}  = 1\tfrac{249}{8375} hours

The total time taken for group Z to paint the wall together = 1.03 hours

3. Since the total time for group A to paint the wall which is 1.2 hours is more than the total time for group Z to paint the wall which is 1.03 hours, group Z can paint the wall faster.

You might be interested in
Marge cuts 16 pieces of tape. each piece is 3/8 inches long. how much tape did she use
PilotLPTM [1.2K]
16 x 3/8 so 16/1 x 3/8 = 48/8. 48 divided by 8 is 6. So 6 inches.
4 0
3 years ago
Read 2 more answers
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hou
blagie [28]

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104


Eastbound Train: 86mph

Westbound Train: 104mph

3 0
2 years ago
The Smiths spend 8% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year
Marrrta [24]

Answer:

46000

Step-by-step explanation:

cuz I did the math

4 0
2 years ago
Read 2 more answers
Brandon buys a radio for $44.57 in a state where the sales tax is 7%.
grigory [225]

Answer:

$3.12

Step-by-step explanation:

44.57 x 0.07 = 3.12

8 0
3 years ago
Given the points A (-4,-2) and B (4, 10), find the
mafiozo [28]

Answer:

  P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

<h3>Equation for P</h3>

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

  P = A +q(B -A) = (1 -q)A +qB

<h3>Application</h3>

For q = 3/4, the location of P is ...

  P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

  P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

  P = (2, 7)

8 0
1 year ago
Other questions:
  • Carl and Florence Lyles have the option of investing their $20,000 in a four-year CD with 5.15% interest compounded annually, 5%
    5·1 answer
  • Imagine that the mean height for players in all Division I women's basketball programs is 69 inches with a standard deviation of
    9·1 answer
  • You drop a ball from a set of bleachers that is 64 feet above the ground. How long will it take the ball to hit the ground?
    15·1 answer
  • Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.
    9·1 answer
  • 5 people working for 6 hours per day they complete they task task in 16 days. How many days would it take 8 people if they worki
    6·2 answers
  • What’s the solution to Y &lt; 5x - 2
    6·1 answer
  • 1
    8·1 answer
  • Mr guzman recorded the number of cookies she sold at her bakery each day for one week
    8·1 answer
  • Just 7 i really dont want to do the work 3
    5·1 answer
  • Can you please answer the question?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!