Tina can paint a room 1.5 times faster than joey can. if they work together, they can paint a room in

2 answers
Question:

Tina can paint a room 1.5 times faster than joey can. if they work together, they can paint a room in 6 hours. how long would it take the slower person working alone to paint the room?

Answers

So, the rate is 1 job / hours, so:
1/n + 1/1.5n = 1/6
We'll make the denominator 3n:
3/3n + 2/3n = 1/6
5/3n = 1/6
Cross multiply:
3n = 30
n = 10
It will take the slower person 10 hours to complete the room.

To answer this problem, let us define that:

x = amount of time Joey can paint a room in hours

1.5 x = amount of time Tina can paint a room in hours

Each person can complete 1 job in the specified amount of time.

1 job / x hours = rate of Joey

1job / 1.5 x hours = rate of Tina

By adding the two, they can paint the room (1 job) in 6 hours. Therefore:

(1 / x) + (1 / 1.5 x) = 1 / 6

Multiplying whole equation with 6 (x) (1.5 x):

6 (1.5 x) + 6 x = x (1.5 x)

9 x + 6 x = 1.5 x^2

Dividing both sides with x:

15 = 1.5 x

x = 10 hours

Therefore the time it will take Tina, the slower person, is 1.5x = 15 hours

ANSWER: 15 hours

Similar Solved Works

4 answers

Please help its urgent​

Please help its urgent​ [tex]Please help its urgent​[/tex]...
4 answers

The separation of church and state refers to: O the creation of distinct religious and secular spheres

The separation of church and state refers to: O the creation of distinct religious and secular spheres in a society. O a political ideology that is unique to the United States of America O a heretical political ideology that has led to global moral demise O the unification of religious and secular s...
5 answers

Witch are examples of strong evidence that could be used to support a claim in a debate ? check all

Witch are examples of strong evidence that could be used to support a claim in a debate ? check all that apply....
4 answers

Analyze 2 effects of colonization and its aftermath on relationshipsbetween natives and the American colonies. Confine your

Analyze 2 effects of colonization and its aftermath on relationships between natives and the American colonies. Confine your response to the period from 1607 - 1733. (AH1.H.3.2) *...
5 answers

The number of different species of the biosphere is called

The number of different species of the biosphere is called...
4 answers

India was successful at gaining their independence from Great Britain becauseAthey united as one people regardless of religion,

India was successful at gaining their independence from Great Britain because A they united as one people regardless of religion, ethnicity, and social caste against the British Raj. B they fought many battles against the British Raj. С the Indian government was given military aid from other count...
3 answers

The ratio of sam’s height to joe’s height is 5: 6. sam is 57”tall, how tall is joe

The ratio of sam’s height to joe’s height is 5: 6. sam is 57”tall, how tall is joe...
3 answers

Suggest two features of humans that are cause by their genes, and are not affected by their environment​

suggest two features of humans that are cause by their genes, and are not affected by their environment​...
8 answers

What does the chemical formula CaCl2 show about the compound it represents? It is made up of one element. It is made up of two elements. It is made up

What does the chemical formula CaCl2 show about the compound it represents? It is made up of one element. It is made up of two elements. It is made up of three elements. It is made up of four elements....
6 answers

What is indirect characterization? a. a minor character who is not well developed at all within the

What is indirect characterization? a. a minor character who is not well developed at all within the story b. a character developed with a statement about character by the author c. a character developed by comparison to other characters in the story d. a character developed through actions, dialogu...
3 answers

Chang ate 3 of the dozen eggs he bought at the store yesterday. Which fraction is equivalent to the

Chang ate 3 of the dozen eggs he bought at the store yesterday. Which fraction is equivalent to the fraction of the eggs Cheng ate?...
2 answers

Which phrase is a participial phrase? focused on helping his neighbors

Which phrase is a participial phrase? focused on helping his neighbors...
10 answers

Asample of o2 gas is observed to effuse through a porous barrier in 5.69 minutes. under the same conditions,

Asample of o2 gas is observed to effuse through a porous barrier in 5.69 minutes. under the same conditions, the same number of moles of an unknown gas requires 11.7 minutes to effuse through the same barrier. what is the molar mass of the unknown gas? a) 11.6 g/mol b) 135 g/mol c) 7.56 g/mol d) 66...
10 answers

People we all hate part 1 :)

People we all hate part 1 :) [tex]People we all hate part 1 :)[/tex]...
4 answers

Using the abbreviated method, the estimated resting energy expenditure for an adult man who weighs 60 kg isQuestion 9

Using the abbreviated method, the estimated resting energy expenditure for an adult man who weighs 60 kg is Question 9 options: 1440 1640 1840 2040...
5 answers

Select the undefined term that best defines the arrow pictured

Select the undefined term that best defines the arrow pictured...
4 answers

Why might the beak of the Akialoa, pictured in the figure below, developed thisway?To scoop up fishTo dig through tree bark for insectsTo

Why might the beak of the Akialoa, pictured in the figure below, developed this way? To scoop up fish To dig through tree bark for insects To crack open seeds To reach nectar in flowers...
5 answers

Write the next three terms of the arithmetic sequence. Find the nth term. First term: 2; Common difference: 11 First term:

Write the next three terms of the arithmetic sequence. Find the nth term. First term: 2; Common difference: 11 First term: 18; Common difference: 3.5 First term: 0; Common difference: 4½...
8 answers

What are some different kinds of poems?

What are some different kinds of poems?...
9 answers

How many groups did Aristotle use to divide all the organisms in the world

How many groups did Aristotle use to divide all the organisms in the world...

-- 0.062177--