Question : Directions: Suyash starts walking from Point A and goes 130 m towards the southeast. Pradeep starts walking from Point B and goes 130 m towards the southwest. After walking these distances, they both meet at Point C. Point D is located in such a way that if points A and B are connected with a straight line, then D would be the midpoint of that line. The distance between Point C and Point D is 120 m. What is the distance between Point A and Point B?
Option 1: 120 m
Option 2: 100 m
Option 3: 80 m
Option 4: 50 m
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Correct Answer: 100 m
Solution : According to the instructions given, the diagram is as follows –
Now, we have to calculate the distance between A and B.
Here, A is the starting point of Suyash, B is the starting point of Pradeep and C is the meeting point of both.
AC = BC = 130m; CD = 120m
Calculate the distance between AD using the Pythagoras Theorem –
(AC)
2
= (AD)
2
+ (CD)
2
(130)
2
= (AD)
2
+ (120)
2
16900 = (AD)
2
+ 14400
16900 – 14400 = (AD)
2
(AD)
2
= 2500
AD = 50m
Similarly, BD = 50m
Therefore, AB = 100m. Hence, the second option is correct.
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