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Flying off course quiz (Read 506 times)
Mar 22nd, 2009 at 12:06pm

aussiewannabe   Offline
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An airplane departs from point A with a destination of point B, 200 miles away. Halfway there, the pilot finds he is one mile off course. He makes a correction and flies directly to point B. How much extra distance did he fly by being off course?

A)      1/100 of a mile
B)      One mile
C)      Two miles
D)      20 miles

Don't quess. Show the math Wink
 

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Reply #1 - Mar 22nd, 2009 at 12:16pm

Craig.   Offline
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Is this by any chance your maths homework that you can't be bothered to do on your own?  Wink Grin
 
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Reply #2 - Mar 22nd, 2009 at 12:33pm

aussiewannabe   Offline
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Craig. wrote on Mar 22nd, 2009 at 12:16pm:
Is this by any chance your maths homework that you can't be bothered to do on your own?  Wink Grin

You're joking, right?

Found this question in today's newspaper (complete with the answer).

Lighten up!

And no, I don't do homework Grin

 

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Reply #3 - Mar 22nd, 2009 at 1:09pm

pepper_airborne   Offline
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I think i figured out the math, i just dont have a calculator nearby to do it. And the windows calculator is a tad bit vague.
 
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Reply #4 - Mar 22nd, 2009 at 1:17pm

C   Offline
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Just a shade under 1/100 of a mile. Smiley


I did post how I got there, but then again, that would ruin it for anyone else, so I've removed it. Smiley
« Last Edit: Mar 22nd, 2009 at 6:12pm by C »  
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Reply #5 - Mar 22nd, 2009 at 1:37pm

pepper_airborne   Offline
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Then my calculation wasnt as far off as i though it was Grin.
 
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Reply #6 - Mar 22nd, 2009 at 2:00pm

C   Offline
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pepper_airborne wrote on Mar 22nd, 2009 at 1:37pm:
Then my calculation wasnt as far off as i though it was Grin.



Something to do with a geezer called Pythagoras I think. Wink
 
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Reply #7 - Mar 22nd, 2009 at 3:01pm

Brett_Henderson   Offline
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C wrote on Mar 22nd, 2009 at 1:17pm:
Just a shade under 1/10 of a mile. Smiley


I did post how I git there, but then again, that would ruin it for anyone else. Smiley



(((100^2 + 1^2)^0.5)-100)*2

(10,001^0.5-100)*2

0.0099997500124992188046833987597394

Or  ~  1/100

The answer is  A
 
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Reply #8 - Mar 22nd, 2009 at 3:10pm

Fozzer   Offline
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Brett_Henderson wrote on Mar 22nd, 2009 at 3:01pm:
C wrote on Mar 22nd, 2009 at 1:17pm:
Just a shade under 1/10 of a mile. Smiley


I did post how I git there, but then again, that would ruin it for anyone else. Smiley



(((100^2 + 1^2)^0.5)-100)*2

(10,001^0.5-100)*2

0.0099997500124992188046833987597394

Or  ~  1/100

The answer is  A


WOW!... Shocked...!

That's the same calculation I use to measure the necessary weight of Cornflower to liquid,  to get my Gravy to the right constancy!.... Shocked...!

Paul...Mathematics in Cooking... Grin...!
 

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Reply #9 - Mar 22nd, 2009 at 3:18pm

pepper_airborne   Offline
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C wrote on Mar 22nd, 2009 at 2:00pm:
pepper_airborne wrote on Mar 22nd, 2009 at 1:37pm:
Then my calculation wasnt as far off as i though it was Grin.



Something to do with a geezer called Pythagoras I think. Wink


How'd you guess eh? Grin Smart fella for sure!
 
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Reply #10 - Mar 22nd, 2009 at 5:14pm

aussiewannabe   Offline
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Brett_Henderson wrote on Mar 22nd, 2009 at 3:01pm:
C wrote on Mar 22nd, 2009 at 1:17pm:
Just a shade under 1/10 of a mile. Smiley


I did post how I git there, but then again, that would ruin it for anyone else. Smiley



(((100^2 + 1^2)^0.5)-100)*2

(10,001^0.5-100)*2

0.0099997500124992188046833987597394

Or  ~  1/100

The answer is  A


Correct!!

Here's the answer from the paper:

A)1/100 of a mile. The pilot had flown about 100.005 miles (the square root of 100 squared divided by 1 squared) at the halfway point. So he had flown 200.01 miles by the time he got to his destination.
 

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Reply #11 - Mar 22nd, 2009 at 5:38pm

C   Offline
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aussiewannabe wrote on Mar 22nd, 2009 at 5:14pm:
Here's the answer from the paper:

A)1/100 of a mile. The pilot had flown about 100.005 miles (the square root of 100 squared divided by 1 squared) at the halfway point. So he had flown 200.01 miles by the time he got to his destination.


Is that verbatim? If so the paper is astonishingly inaccurate. If they bother to do the basic maths (math for our transatlantic cousins Cheesy)...

Quote:
the square root of 100 squared


Is that the "sqrt of (100^2)" [ie, 100], or the "(sqrt of 100)^2" [again 100, but a completely different meaning!]...

Quote:
divided by 1 squared


...which is, er, 1.

or, the square root of...

Quote:
100 squared divided by 1 squared


...which is 10,000/1, of which the sqrt is 100.

At no stage does their answer get anywhere near explaining where they got their extra 0.005 from.

If of course they'd said:

Quote:
(the square root of (100 squared plus 1 squared))


They'd have been right. Grin



 
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Reply #12 - Mar 22nd, 2009 at 5:58pm

Brett_Henderson   Offline
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Ummm..  who was it that said the answer was 1/10   Huh


Cheesy
 
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Reply #13 - Mar 22nd, 2009 at 6:13pm

C   Offline
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Brett_Henderson wrote on Mar 22nd, 2009 at 5:58pm:
Ummm..  who was it that said the answer was 1/10   Huh


Cheesy


I knew what I meant. Typo on my part. Smiley
 
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Reply #14 - Mar 22nd, 2009 at 7:56pm

aussiewannabe   Offline
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C wrote on Mar 22nd, 2009 at 5:38pm:
Is that verbatim?

Yes, unfortunately the paper is not in error as I mistyped what I believed was a divide sign. Sorry, but my eyesight is slightly diminished due to having cataracts. Not too keen reading text on glossy paper.

I got a second opinion. It is a plus sign not a divide sign.

I apologize for the error on my part.






 

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