You can wash a car 1.5 times as fast as your friend. Working together, the two of you can wash 1 car in 6 minutes. How long does it take each of you to wash the car when working alone? Leave your answer as a fraction!

Answers

Answer 1

If the two of you can wash 1 car in 6 minutes:

It will take you 10 minutes to wash the car alone

take your friend 15 minutes to wash the car alone

Let the duration you can work be represented by y

Let the duration your friend can work be represented by x

You can wash a car 1.5 times as fast as your friend

That is, y = 1.5x

Working together, the two of you can wash 1 car in 6 minutes

This can be represented by the equation

[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]

Substitute x = 1.5y into the equation above

[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]

It will take you 10 minutes to wash the car alone

Substitute y = 10 into x = 1.5y

x  =  1.5(10)

x  =  15 minutes

It will take your friend 15 minutes to wash the car alone

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

23 - 10 = 13

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Well well well, let's write it down as an equation

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The Picture is attached below

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

10 and 11 or -10 and -11

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Answer:

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Step-by-step explanation:

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Answer:

[tex]⟼12(y + 11)[/tex]

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Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

one solution

Step-by-step explanation:

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Answer:

50

Step-by-step explanation:

How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle

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Answer:

44

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In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.

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the answer would be eight

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Use the information to answer questions 14 – 17.


Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.


Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.


A.

(2.5, 15)


B.

(5, 20)


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(7.5, 12.5)


D.

(17.5, 5)


E.

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Answers

Answer:

x ≤ 13 2/5 and y ≥ 6 2/3

Step-by-step explanation:

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x + y ≤ 20

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Answer: 18

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Step-by-step explanation:

the most usual firm of line equation is

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a is the slope of the line and is expressed as the ratio

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x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

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Answer:

Step-by-step explanation:

To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.

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Answer:

A

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