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astra-53 [7]
3 years ago
8

Ahmad and Kumar together can paint a house in 12 days. Kumar and Chong Beng together can complete the same job in 15 days while

Ahmad and Chong Beng together will take 20 days to paint the same house. How many days will it take Ahmad, Kumar, and Chong Beng to complete the job together?
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Ahmad and Kumar together can paint a house in 12 days. Kumar and Chong beng together can complete the same job in 15 days while Ahmad and Chong beng together will take 20 days to paint the same house. How many days will it take Ahmad, Kumar and Chong beng to complete the job together?



The trick (SOP) for work problems is that we reduce the work to unit rate.

Ahmad and Kumar together can paint a house in 12 days.--->Ahmad and Kumar together can paint 1/12 the house in 1 days.

A+K = 1/12 of house in a day
K+C= 1/15 of house in a day
A+C= 1/20 of house in a day

Adding all together

2(A+K+C) = 1/12+1/15/+1/20 = 1/5 in a day
A+K+C = 1/10 in a day

So they take 10 days to finish the job together.
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bus driver drove from Philadelphia to Washington D.C. He drove the first 100 km in 2 hours, the next 55 km in 1 hour, and the fi
Andrews [41]

Answer: I think it’s 46

Step-by-step explanation: Because you add up the miles he drove them divide them by how long he drove

Ex 55+75+100=230 then you divide that by 5 hours = 46 per hour

4 0
3 years ago
Marion is driving between two towns that are close together. If she drives 1/5 the distance of the trip in 15 minutes, what is h
Papessa [141]

Answer: 75 minutes per hour.

Step-by-step explanation:

From the question, we are informed that Marion is driving between two towns that are close together and that she drives 1/5 the distance of the trip in 15 minutes.

The rate per hour will then be:

= 15 ÷ 1/5

= 15 × 5

= 75 minutes

The rate per hour will then be 75 minutes per hour.

3 0
3 years ago
Help help<br><br> Order these fractions from least to greatest.
Dmitrij [34]

Answer:

\frac{5}{9}, \frac{7}{9}, \frac{8}{9}

Step-by-step explanation:

The answer is: \frac{5}{9}, \frac{7}{9}, \frac{8}{9}

And this question isn't to difficult, and the trick is realizing they all have the same denominator.

The denominator is essentially saying how many pieces of the whole (1) is being broken into.

So the denominator 9, means that you're breaking up the number 1 into 9 pieces.

The numerator is telling us how many pieces of this "broken up 1" the number has.

So 8/9 has more of these "broken up pieces" than 7/9, and it's so vitally important that these numbers have the same denominator.

For example: 1/2 and 30/90

30/90 may appear to be bigger, since the numerator of 30, but it's actually smaller.

The reason for this is because we can simplify it to: 1/3 by dividing both sides by 30 so the value remains the same.

Now we can actually compare 1/2 and 1/3 without changing the denominators.

1/3 is "one piece" of a broken up one, that was "broken" into 3 pieces.

1/2 is "one piece" of a broken up one, that was "broken" into 2 pieces.

So if I split one whole, into three pieces, each individual piece is going to be smaller than had I split that one whole into 2 pieces.

So 1/2 is actually bigger than 1/3

8 0
1 year ago
Evaluate the expression: –(31 + 2) + 72 – (–5)2.
Rudiy27

Answer:

 14

Step-by-step explanation:

Order of operations rules require that we do any work inside parentheses first.  Thus,

–(31 + 2) + 72 – (–5)^2

becomes:

     -33    + 72 -  25, or

               14

Important:  Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.

4 0
3 years ago
Rent-An-SUV charges an $80 fee to rent a truck and $12 per mile. Another rental company charges a $150 fee to rent a truck
almond37 [142]

The linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320

Since we are not told what to find, we can look for t<u>he linear equation that can be used to calculate daily car rentals</u>;

  • Let the charge amount be y
  • Let the amount per mile of the truck rent be x.

  • If rent-An-SUV charges an $80 fee to rent a truck and $12 per mile, this can be expressed in coordinate form as (12, 80)

  • Similarly, if another rental company charges a $150 fee to rent a truck and $8.50 per mile, this can also be written in a coordinate form as (8.50, 150)

The standard linear expression is given as f(x) = mx + b

  • m is the rate of change
  • b is the y- intercept

Get the rate of change;

m=\frac{150-80}{8.5-12}\\m=\frac{70}{-3.5}\\m=  -20\\

Get the y-intercept;

80 =  -20(12) + b

80 = -240 + b

b = 320

Get the required linear equation;

f(x) = mx + b

f(x) = -20x + 320

Hence the linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320

Learn more on linear equation here: brainly.com/question/12788590

4 0
3 years ago
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