Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**Mariner**- Replies: 4

using the formula D=S x T

given Speed=48km/h, time= 3h 45min

Do I make is 48 x 3 x 45/60 ?

**Mariner**- Replies: 1

I'm going to re-post again but without the rest of the question to avoid any confusion.

I'm doing long division and I have 7296/577 . I go through the long division process and I get a quotient of 12 with a remainder of 372. If I were to use the calculator, the answer is 12.64 or just 12.6 for simples. My question is, how do I get/find this .4 that is on the end of the 12?

John E. Franklin wrote:

Well this very last one I cheated and used a calculator!!

But before I was doing it in my head.

well I'm practicing for an aptitude test where I have to do about 75 questions in 24 minutes. I am given a ball part with these kinds of questions to work with so I think the method I used is quite accurate.

John E. Franklin wrote:

Well, we could use my first formula fixed of errors:

Wrong way: A =[ 324 / ( 324 + 264) ] times 2548.

Right way: A = [264 / (324 + 264) ] times 2548.

Comes out 1144.

are you doing this my hand or by calculator

John E. Franklin wrote:

If you shorten the number 4.3 instead of 4.33333, then it is just a little less accurate.

No big deal.

well if you can do 4.3333333 x 264 and all the other stuff in under 30 seconds be my guest lol

John E. Franklin wrote:

Right, so 1144 miles from point A, the shorter distance.

And 1404 miles from point B, seems to me.

well you only do it for the point or aircraft it asks for, and as it's recurring it's just 4.3 x A's speed = 1135

John E. Franklin wrote:

Okay, sounds good. Speed is good sometimes.

So now are you going to find out how much time it took for them to meet?

And then take that time and multiply it by the slower A rate for the distance,

supposing they are approaching each other in opposite directions...??

pretty much. So it's 4.3 x 264 =1135.2 so 1135. We just assume aircraft or A is traveling towards B. We don't worry about which is faster or slower unless it says Where (distance from the startpoint of vehicle B) will both vehicles meet?

John E. Franklin wrote:

If you want you can bring down the invisible zero and keep dividing.

So you get 1960 divided by 588, and then pick 3, and go

around and around getting the same answer again and again,

bringing down a zero.

sure can!, but I'm trying to do the question in under or as close to 30 seconds as I can by hand.

John E. Franklin wrote:

Oh, I see it now!!

196 times 3 is 588, so 1/3 = 0.3333333333333333 forever.

So the answer of the division is 4.3333333333 repeating.

yes its recurring. So once I do all the long division and I get like a 4. something and I have a reminder, I divide the remainder by the divisor and get my decimal point. very nice

John E. Franklin wrote:

Oh, long division, sorry, the 196 goes over the 588.

So you get 4 and 196/588. Does that help?

yeah this is where I get stuck because to remainder is larger than the divisor so what am I meant to do to get 0.3

John E. Franklin wrote:

Vehicle A is the slower one, so you have given the distance from B I think.

Add them up, and you get the total distance...

You assume Vehicle A is traveling towards B. I know how to do the question just not the long division part.

John E. Franklin wrote:

The puzzle is what is 27 times 37 ? (pretty neat huh? the answer!!)

the wonders of multiplication lol

John E. Franklin wrote:

Since rate times time is distance, it is a linear equation, a line, distance on vertical y-axis,

rate or time, you pick it is on the x-axis, horizontal to the right.

This straight line means you can do reciprocals!! I don't know why I

know this, but the answer must be:

Distance of A =[ 324 / ( 324 + 264) ] times 2548.

Don't ask me how I know this, I just do... I'm old, 45 + or - 5 years.

bye. lol.

Hi Thanks for the input but it's still a little off. You working got 1404 or 145.46 I cant remember while the answer is 1144, so it's almost in the ball park.

**Mariner**- Replies: 23

Hi all, I have a question to do with long division. My question is what do I do with the remainder?

For example:

Vehicle A and vehicle B are 2548 miles apart and move towards each other.

The speed of vehicle A is 264 mph and the speed of vehicle B is 324 mph.

Where (distance from the startpoint of vehicle A) will both vehicles meet?

V(a)=264

V(b)=324

D=2548

V(t)=264+324=588

T= D/S

2548/588

Now thats where I stuff up somewhere. I use long division and I get quotient of 4 with a remainder of 196; I know the answer is going to end up as 4...something and then I need to multiply that by 264 but I don't know how to figure what comes after the 4. Please help! I know it's very basic math but I am always getting stuck at this part.

excellent! thanks mate!

bobbym wrote:

Hi Mariner;

That is what you have? To solve it you would take the cube root of both sides first:

Now you just have a quadratic to solve. Using inspection you can see that one root is x = 2. Can you get the other?

Or are you trying to expand that out?

From the last step you have there I did:

x^2 - 1 = 3

X^2 = 3+1

X^2 = 4

x= root 4

x= 2

I know it should be 2,-2 but how do I get the negative 2?

**Mariner**- Replies: 5

Hi, I was wondering with an equation such as this : (x^2 - 1 )^3 = 27 do I times the 3 into the brackets and cube the last term (27)?

2(4x+3) / x-3 is the correct answer yes?

bobbym wrote:

Hi;

Is this what we are doing?

Did you factor all the numerators and the denominators so that cancelling is easy?

Correct. I'm practicing algebra that I haven't done for about 3 years now. I'm getting stuck with the 12x^2-9 part

**Mariner**- Replies: 5

6x+12 / 12x-9 X 16x^2-9 / (x+2)(x-3)

I need some help simplifying and multiplying this. I'm overlooking something but I can't tell what Could someone please help?

**Mariner**- Replies: 1

Hi, I need some examples on how to solve these types of sequences as I completely drag at them and can't do them to save my life. Thanks!

ps: are there any formulae you can use with these types of sequences to solve them?

**Mariner**- Replies: 2

Hi, I was wondering what is the best way to solve these types of questions in your head. no use of calculator.

D=S x T

S=500km/h , Time= 2h 30min

S=72km/h, time= 5h 24min

**Mariner**- Replies: 3

Hi, I was wondering what is the best methods to go about solving these perticular fraction questions. The questions are as follows..

What is 5/6 of 360?

What is 9/8 of 200?

What is 3/8 of 128?

Add 3/4 of 216 to 3/5 of 75

What is 12/16 expressed as a decimal?

Deduct 4/7 of 49 from 100

I'm ok with fractions but I have no idea how to go about with these types of questions. If someone could explain the best method to complete these questions it would be fantastic.

What is 267 divided by 3?

Divide 126 by 14

Much the same with these types of question, just what is the quickest methods to solve these. Thanks!

**Mariner**- Replies: 10

I'm brushing up on my 'simple' maths before I go a do a placement test and I know for a fact that there are a number of questions that ask for a percentage of a number or quantity of something. I was wondering if I can have some tips on how to do these types of questions in my head or any 'tricks of the trade' if any.

The structure and style of questions asked are as below.

Find 25% of 5 hours.

Find 45% of 70 meters.

Find 5% of $5

Thanks for the help:D

**Mariner**- Replies: 4

Hi, I was wondering if I could get your help on some particular number sequence questions and the tricks behind them.

Here are a few.

10, ?, 41, 17, 52, 09

15, ?, 70, 18, 52, 00

Thanks,