Distance travelled from Point A to Point C
 

dear i have a simple math question but i need loagical answer of it.
a person comes out of his house and moves 12 km north,then 12km east and again 12 km north. tell me how much time would it take to him if he moves in a straight line towards his house. some options are;

24km
21KM
::::::::::::::::::::::::::::::::::::::::::;help plz

24 kilometers.

26.83 km (because he will move in one straight line to come on its origional position)chek it be making a right angle triange

[QUOTE=muhammadalihamid;218438]dear i have a simple math question but i need loagical answer of it.
a person comes out of his house and moves 12 km north,then 12km east and again 12 km north. tell me how much [B]time[/B] would it take to him if he moves in a straight line towards his house. some options are;

24km
21KM
::::::::::::::::::::::::::::::::::::::::::;help plz[/QUOTE]

time?

[CENTER][IMG]http://www.cssforum.com.pk/attachments/off-topic-section/off-topic-discussions/3683-logical-answer-sdf.jpg[/IMG][/CENTER]

[QUOTE=muhammadalihamid;218438]dear i have a simple math question but i need loagical answer of it.
a person comes out of his house and moves 12 km north,then 12km east and again 12 km north. tell me how much time would it take to him if he moves in a straight line towards his house. some options are;

24km
21KM
::::::::::::::::::::::::::::::::::::::::::;help plz[/QUOTE]

you are asking about time, and the you gave options in km :evil also forget to mention the speed, i don't know how other people are answering :nono

The answer is "26.83"
 

Let's elaborate it

As the question reads "12 M North" then "12 M East" and then "12 M North"

It equals to North=12+12 (24)
East=(12)

Let's suppose the man goes 12 M East first and then 24 M North.

As he goes "straight" we have two lines with an angle of 90.

Now we have three points A,B and C.

Point [B]A[/B] is the Home, the starting point.
Point [B]B[/B] 12 M Eastwards from point A.
Point [B]C[/B] 24 M Northwards from point B.

We have been told that the man has taken a straight course to home(point [B]A[/B]) from "point [B]C[/B]"

Thus we got a third line drawn from C to A.


What we get as a result is a Triangle. A [I]right triangle[/I] (a triangle with one [I]right angle[/I] which measures to 90 degrees).

We have to measure the length the man covered in his return journey.
what we need is to measure the length of our third line (A to C)

That is simply the [I][URL="http://en.wikipedia.org/wiki/Hypotenuse"]Hypotenuse[/URL][/I] and we could measure its length by using [I][URL="http://en.wikipedia.org/wiki/Pythagorean_theorem"]Pythagorean theorem[/URL][/I] which states that which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides of a right triangular.

h square=12 square+24 square
h square=144+576
h square=720

take square root on both sides of equation

h=26.83

Now we have the exact lengths

If you want the total time elapsed and have the speed just measure it on basis of these lengths.

thanx
 

i am thankful to all those who answer me. 24 answer with diagram as well as of right triangle both look logical and match with mind.and friends time was written mistakenly.sorry for any inconvenience.thanx again