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Riddle Me This....


Guest Glock23ForMe

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Guest Glock23ForMe
Three men walk into a cheap motel to rent a room. The clerk at the front desk tells them the room will be $30. So they each fork out $10 apiece and hand it to the clerk. The three tired men go to their room and find that it's filthy. They go back to the front desk, demanding a new room. The clerk says that it's the only room left. The owner hears the three men complaining and feels a bit sorry for them. So the owner takes the clerk to the back room and tells him to give them a $5 discount. The clerk goes back to the front desk about to refund them the $5, but then changes his mind. The unscrupulous clerk decides to pocket $2 and refund them $3. He hands them each a dollar. So now each person actually only paid $9 instead of $10. Ok, $9 times three equals $27. Now, remember, the clerk pocketed $2. So, $27 plus the $2 equals $29. Hmm... they started off by paying $30. What happened to that dollar??? POOF! Gone.

I'm gonna think on this one for a bit.

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Guest Jamie
Just trying to give you a hard time.

Don't waste the effort... my house seems to have a sufficient monopoly on being irritating that there's no need for any extra. :-\

Here's another way to look at the painting problem, btw...

Jane paints 25% faster than Jimmy. So she will be done with her 50% of the house while Jimmy has only completed 75% of his 50%. This will leave 1/8th or 12.5% of the house to be painted.

Now given that Jane is gonna paint 25% more of that 12.5% than Jimmy will at the same time, all you have to do is figure her total painting time. Jimmy is unimportant.

How's that for a convoluted way to skin a cat? :D

J.

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Guest mosinon

I opine that it is even easier to say...

let the house =12 sq ft (sine the house can be any size)

then

Jimmy paints 3 sq ft per hour

Jane paints 4 sq ft per hour

Jimmy+Jane=7 square feet per hour

how long does it take to paint 12 square feet at seven feet per hour?

12/7 hours...

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I opine that it is even easier to say...

let the house =12 sq ft (sine the house can be any size)

then

Jimmy paints 3 sq ft per hour

Jane paints 4 sq ft per hour

Jimmy+Jane=7 square feet per hour

how long does it take to paint 12 square feet at seven feet per hour?

12/7 hours...

what if the house had been 21 sq. ft. then....21/7 = 3 = wrong answer?

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Guest Glock23ForMe
what if the house had been 21 sq. ft. then....21/7 = 3 = wrong answer?

If the house is larger, the sq ft per hour goes up... It won't be 7....

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Guest mosinon

Nah, if you change the size of the house you change the rate at which they paint. In the case of a 21 sq ft house:

house=21 sq ft

Jimmy paints 21/4 sq fet per hour

Jane paints 21/3 sq ft per hour

so then the total is 12.25 sq ft per hour. 21 divided by 12.25 is 1.714. 12/7 is 1.714

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If the house is larger, the sq ft per hour goes up... It won't be 7....

I'm pickin' up what you're layin' down, but it won't result in the same answer without getting as tricky as solving it outright.

You have to proportionally increasing their rates of work to match the increase in the total job. Furthermore, you have to maintain the 4:3 ratio of their rates of work.

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Nah, if you change the size of the house you change the rate at which they paint. In the case of a 21 sq ft house:

house=21 sq ft

Jimmy paints 21/4 sq fet per hour

Jane paints 21/3 sq ft per hour

so then the total is 12.25 sq ft per hour. 21 divided by 12.25 is 1.714. 12/7 is 1.714

My bad, I stand corrected.

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Three men walk into a cheap motel to rent a room. The clerk at the front desk tells them the room will be $30. So they each fork out $10 apiece and hand it to the clerk. The three tired men go to their room and find that it's filthy. They go back to the front desk, demanding a new room. The clerk says that it's the only room left. The owner hears the three men complaining and feels a bit sorry for them. So the owner takes the clerk to the back room and tells him to give them a $5 discount. The clerk goes back to the front desk about to refund them the $5, but then changes his mind. The unscrupulous clerk decides to pocket $2 and refund them $3. He hands them each a dollar. So now each person actually only paid $9 instead of $10. Ok, $9 times three equals $27. Now, remember, the clerk pocketed $2. So, $27 plus the $2 equals $29. Hmm... they started off by paying $30. What happened to that dollar??? POOF! Gone.

$2 has been stolen by the clerk. Initial outlay by the guests = 3 x $10, or $30, into the motel's register. The discount = $-5, for net total of of $25. This is the payment received by the owner. In his eyes, the room nets $25. With respect to the clerk, the room nets the owner $25 + his two, or $27. With respect to the guests, the room nets their $30, minus $3 for the discount, also $27. They never see the $2 that the clerk scarfs up. The trick is directing people away from the actual money changing hands, and getting them to fixate on $30 as though the owner and clerk couldn't change the total amount of cash involved. 27 plus 2 is 29 every time, but in this case stating that is misdirection.

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Guest 1010011010
Three men walk into a cheap motel to rent a room. The clerk at the front desk tells them the room will be $30. So they each fork out $10 apiece and hand it to the clerk. The three tired men go to their room and find that it's filthy. They go back to the front desk, demanding a new room. The clerk says that it's the only room left. The owner hears the three men complaining and feels a bit sorry for them. So the owner takes the clerk to the back room and tells him to give them a $5 discount. The clerk goes back to the front desk about to refund them the $5, but then changes his mind. The unscrupulous clerk decides to pocket $2 and refund them $3. He hands them each a dollar. So now each person actually only paid $9 instead of $10. Ok, $9 times three equals $27. Now, remember, the clerk pocketed $2. So, $27 plus the $2 equals $29. Hmm... they started off by paying $30. What happened to that dollar??? POOF! Gone.
In effect the three men pay $25 and a $2 tip to the clerk. $27 total, or $9 each. Add in the $3 refund and you get back to the original total of $30 or $10 each. The misdirection is in taking the total for the $9-each rate which already includes the $2 and adding the $2 again. I hate this riddle.
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