Direction Sense 2nd Model

2nd Model :

Q: A Boy went 50 Km north and took a right turn and traveled 20 Km again he traveled 10 Km,20 Km and 30 Km always taking left turn each time. How far he traveled from starting point and in which direction.

    So now we are going to solve the problem.

    Now put starting point. The boy went 50 Km north so the diagram looks like following.

   

   Then he took right and traveled  20 Km. As we know North right is East. So it looks like following.

Direction Sense

Introduction : 

                      These questions are designed to judge the candidates ability to trace his goal by applying a clear sense of direction. A successive follow up directions leads to the final point by covering some distance between the initial and final points.Confusion is often caused with the frequent right and left turns in the journey.

The four main directions are 

• North (N)
• South (S)
• East (E)
• West (W)

and the four cardinal directions are

• North East (NE)
• North West (NW)
• South East (SE)
• South West (SW)

Important Points :

• South right is West and South left is East.
• West right is North and West left is South.
• North right is East and North left is West.
• East right is South and East left is North.

     There are totally 5 types of models we might get in competitive exams. We will see each one of the model with examples and explanation.

----Read 1st Model----

Date : 30/01/2016

Direction Sense 1st Model

1^st Model :

Q : A boy went  20 km North and took right turn and traveled 40 Km and he took right turn and traveled 20 Km. How far and which direction is he from the starting point?

First always remember these conditions when we solve direction problems.

1. Our right hand side is East(E)
2. Our left hand side is West(W)
3. Our  top wards side is North(N)
4. Our bottom wards side is South(S)

So now we are going to solve the problem.

Now put starting point. The boy went 20 Km north so the diagram looks like following.

Then he took right and traveled  40 Km. So it looks like following.

Then he again took right and traveled  20 Km. So it looks like following.

From starting point destination is on right side. So the answer is East direction from starting point.

And he is 40 Kmaway.

Shortcut method:

• Boy Went 20 Km north So write like below

    

                     N

                    20

• Then he took right (North right is East) and traveled 40 km Then write like below

                     N      E

                     20     40

• Then again he took 20 Km right (right of east is South).Then we need to write like below.

               

                    N      E     S

                    20     40   20

          

         Now remove opposite directions. Then we will get below one.

                    N      E     S

                    20     40   20

        Finally E alone left.So the answer is East direction and distance is 40 Km.

Q : A boy went 60 Km south and took right turn and traveled 20 Km and he took right turn and traveled 15 Km. Finally he turned right and traveled 20 Km. How far and in which direction he is from starting point.

• 20 Km south

                S

               60

• Took right turn (South right is West) 20Km

               

                S       W

               60      20

• Took right turn ( West right is North) 15Km

               

                S       W     N

               60      20    15

• Took right turn (North right is East) 20Km

               

                S       W     N     E

               60      20    15    20

          So now need to remove opposite direction.

                S       W     N     E

               60      20    15    20

       Now subtract South and North

       60 – 15 = 45 and South value is bigger than North So the answer is 45 Km in South direction.

----Read 2nd Model----

Date: 30/01/2016