how long should it take him to paint a wall that measures 16 feet by 18 feet?

eddy2017

eddy2017

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Hi, dear tutors, professors and helpers:
I will need your guidance with t his problem.
if it takes a student 3 hours to paint a rectangular wall that measures 24 feet by 10 feet, working at the same speed, how long should it take him to paint a wall that measures 16 feet by 18 feet?

The first that came to my mind was to find the respective areas of the two walls.
A= l * w
Wall 1 = 240 ft^2
Wall 2 = 288 ft^2
Any hint for the next best move?.

Thanks in advance,
eddy




Thanks in advance for your support and hints.
 
eddy2017 said:
Hi, dear tutors, professors and helpers:
I will need your guidance with t his problem.
if it takes a student 3 hours to paint a rectangular wall that measures 24 feet by 10 feet, working at the same speed, how long should it take him to paint a wall that measures 16 feet by 18 feet?

The first that came to my mind was to find the respective areas of the two walls.
A= l * w
Wall 1 = 240 ft^2
Wall 2 = 288 ft^2
Any hint for the next best move?.

Thanks in advance,
eddy

Thanks in advance for your support and hints.
Click to expand...
Areas might be useful. Do you think it would make sense to know WHY? You keep agreeing with me when I point out that your solutions should be better organized, but then you start with "The first that came to my mind". Shouldn't you start with analyzing what the problem is asking you?
 
lev888 said:
Areas might be useful. Do you think it would make sense to know WHY? You keep agreeing with me when I point out that your solutions should be better organized, but then you start with "The first that came to my mind". Shouldn't you start with analyzing what the problem is asking you?
Click to expand...
Yes, you're right. Working at the same speed how long will it take him to paint a wall with the dimensions listed. The second wall is even larger or has a larger area than the first.
 
eddy2017 said:
Yes, you're right. Working at the same speed how long will it take him to paint a wall with the dimensions listed. The second wall is even larger or has a larger area than the first.
Click to expand...
Ok, you need to find TIME. What does TIME of work depend on?
 
I would figure out how long it takes to paint 1 sqft. Then armed with that information I would find out how long it would take to paint 288 sqft.
 
eddy2017 said:
Hi, dear tutors, professors and helpers:
I will need your guidance with t his problem.
if it takes a student 3 hours to paint a rectangular wall that measures 24 feet by 10 feet, working at the same speed, how long should it take him to paint a wall that measures 16 feet by 18 feet?

The first that came to my mind was to find the respective areas of the two walls.
A= l * w
Wall 1 = 240 ft^2
Wall 2 = 288 ft^2
Any hint for the next best move?.

Thanks in advance,
eddy




Thanks in advance for your support and hints.
Click to expand...
What would you do if the Wall 1 was 200 sqft and wall 2 was 400 sqft. Also use friendly numbers and what ever you need to do with the friendly numbers do the same with the less friendly numbers.
 
Jomo said:
I would figure out how long it takes to paint 1 sqft. Then armed with that information I would find out how long it would take to paint 288 sqft.
Click to expand...
Thanks for the good tip.
if 240 ft^2 ---3 hours
then,
1ft^2 ------3hrs/240
=1/80 hr per feet.
So,
288 ft^2------- 1/80hr * 288 ft^2
= 288ft^2 /80
simplyfying
36/10
=3.6 h

I am not sure about the units again. I don't see the ft^2 canceling out and I need hours in my answer.
 
If you want my help, why not answer my question?
I understand that others' hints may lead you to a solution faster. I am trying to show you how to organize your thought process. Are you interested?
 
eddy2017 said:
if it takes a student 3 hours to paint a rectangular wall that measures 24 feet by 10 feet, working at the same speed, how long should it take him to paint a wall that measures 16 feet by 18 feet?

Wall 1 = 240 ft^2
Wall 2 = 288 ft^2
Any hint for the next best move?
Click to expand...


Let x = the number of hours to paint Wall 2.

You may use a proportion such as

\(\displaystyle \dfrac{x \ \ hours \ \ for \ \ Wall \ \ 2}{number \ \ of \ \ hours \ \ for \ \ Wall \ \ 1} \ = \ \dfrac{number \ \ of \ \ square \ \ feet \ \ of \ \ Wall \ \ 2}{number \ \ of \ \ square \ \ feet \ \ of \ \ Wall \ \ 1}\)


There are other proportions that will work. For instance, you could swap the expression
in the first denominator with the expression in the second numerator.
 
lev888 said:
If you want my help, why not answer my question?
I understand that others' hints may lead you to a solution faster. I am trying to show you how to organize your thought process. Are you interested?
Click to expand...
Yes, sir. I am. You have been teaching me since the very beginning.
 
lookagain said:
Let x = the number of hours to paint Wall 2.

You may use a proportion such as

\(\displaystyle \dfrac{x \ \ hours \ \ for \ \ Wall \ \ 2}{number \ \ of \ \ hours \ \ for \ \ Wall \ \ 1} \ = \ \dfrac{number \ \ of \ \ square \ \ feet \ \ of \ \ Wall \ \ 2}{number \ \ of \ \ square \ \ feet \ \ of \ \ Wall \ \ 1}\)


There are other proportions that will work. For instance, you could swap the expression
in the first denominator with the expression in the second numerator.
Click to expand...
Thanks a lot.
 
eddy2017 said:
Yes, sir. I am. You have been teaching me since the very beginning.
Click to expand...
Mr Jomo gave a tip that was easy. Just that. But I am always interested . You all have different ways to get to the same solution which is good for me to explore.
 
eddy2017 said:
Mr Jomo gave a tip that was easy. Just that. But I am always interested . You all have different ways to get to the same solution which is good for me to explore.
Click to expand...
Let me know when you are ready to continue.
 
lev888 said:
Let me know when you are ready to continue.
Click to expand...
I am. Whenever you want to continue, I am ready. Had to get away from my desktop for some time. I am back now. Thanks a lot for wanting to teach me
 
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