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One for all you maths boffins


IDGM
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Truck A is a six axle 44000kg combination, travelling at 55mph.

Truck B is a six axle 44000kg combination, travelling at 56mph.

Assuming each combination is 59 feet long and allowing 10 feet at both the front and rear of truck A for clearance, what is the total distance needed for truck B to overtake truck A?

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54 Seconds.

What? It's a quiet day! tongue.gif style="vertical-align:middle" emoid=":P" border="0" alt="tongue.gif" />

he asked for distance, not time rolleyes.gif style="vertical-align:middle" emoid=":rolleyes:" border="0" alt="rolleyes.gif" />

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I'm sorry, fail. The answer is a distance. Remember, you must show workings out.

Unless you're a GCSE student, where 45% of the answer is coursework

I don't actually know the answer. It just seems a bluddy long way when you're on the motorway and two lanes are blocks by one HGV overtaking another.

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I don't have a Maths and Statistics degree but I do have a rampant competative edge, so:

The back of truck B is 69 feet behind the back of truck A. In order to overtake it needs to cover this distance plus the length of truck A (59 feet), and an additional 10 feet to be safely ahead.

= 138 Feet

Truck A Speed is 55 Miles per hour = 290400 feet per hour = 80.66 feet per second

Truck B Speed is 56 Miles per hour = 295680 feet per hour = 82.13 feet per second

Therefore, Truck B covers 1.46 feet more per second than Truck A

and will complete the required 138 feet overtaking distance in 94.09 Seconds.

In 94.09 Seconds Truck B, after it’s complete overtaking manoeuvre, will have completed 7728 feet (1.46 miles)whereas Truck A will have only covered 7590 feet (1.43 miles)

I live in Felixstowe, home of the UK's busiest container port. Sadly this means I spend a lot of time sitting behind daft truckers making overtaking a morning's exercise.

It's a sore point... can you tell? mad.gif style="vertical-align:middle" emoid=":angry:" border="0" alt="mad.gif" />

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Why have I been told the weight?

Just incase you wanted to find out the power of the truck, but i couldnt care less because i finshed my last mechanics alevel exam today! woo hoo!

Assuming of course the topspeed of the truck was 56mph, and youre using the simplest a-level mechanics possible!

Edited by Gibbeth!
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v=u+at

v2=u2+2as

s=ut+½at2

Except that it won't let me do superscript for the squared items...

I wrote my entire dissertation using those 3. biggrin.gif style="vertical-align:middle" emoid=":D" border="0" alt="biggrin.gif" />

Edited by nickilupo
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Well yes, but its easier to memorise them!

Too much stress in exams to go deriving them!

My best mates off to do a straight maths degree at warwick, but apparently he only has to do 50% pure maths, the rest can be anything he wants, and he wants do stats! Personally i hate it!

So im doing mechanical engineering instead!

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I would've preferred to do Mech Eng, but because I didn't do Alevel physics, I would've had to do a foundation year.

I could've done the exact same modules I did at Uni & come out with a straight Maths degree if I'd wanted to - all I did was opt for the stats modules before I went to Uni to make sure I always got a place on the courses.

Ridiculously, 3rd year degree level statistics is all pure anyway - it becomes so theoretical its silly. I had a statistics exam that basically the only numbers on the paper were the question numbers & the statistics involved were all algebraic.

I also did a module that was so farcical we renamed it "Continuous nonsensical piffle".

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Well yes, but its easier to memorise them!

Too much stress in exams to go deriving them!

My best mates off to do a straight maths degree at warwick, but apparently he only has to do 50% pure maths, the rest can be anything he wants, and he wants do stats! Personally i hate it!

So im doing mechanical engineering instead!

Where you goin to do Mechanical engineering?

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Nicki, did you do any stats at A-level?

Ive done 3 stats modules, 1,2 &3 suprise suprise! But the difference between stats 1 and stats 2 & 3 is unbeliveable, i got 93% first time round in stats one, yet in 2 and 3 i dont think ill get that between them!

Our physics course is soooo easy its unbelievable, if you do maths. Theres 7 of us in the class, 3 of which do maths, and we find it easy, but the other 4 really get confused when it comes to any number crunching!

I think the only reason i shouldnt be getting an A in physics is the coursework, which i have and never will be able to do well, so im kind of dreading uni in that sense! but im so looking forward to going and getting away from home!

I could well get slated for saying this, but i wish id appiled to do a maths degree now, enjoyed the pure ive benn doing lately, that i jus want to do more!

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who cares,looks like the trucks been hi jacked along with this thread

laugh.gif style="vertical-align:middle" emoid=":lol:" border="0" alt="laugh.gif" />

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I know someone at Warwick doing Physics, not that that is very interesting.

On the subject of A-level maths I did Pure modules 1-6 (missed out 5), Mechanics 1 and 2 and a couple of stupid stats ones - so put that in you pipe and smoke it coffee.gif style="vertical-align:middle" emoid=":coffee:" border="0" alt="coffee.gif" />

Im just a big geek innocent.gif style="vertical-align:middle" emoid=":innocent:" border="0" alt="innocent.gif" />

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