Question : Directions: Stanley starts cycling from Point A. He cycles x km towards the east and then turns right and cycles 3 km. He again turns right and cycles for (x + 1) km. He again turns right and cycles for (2x + 1) km. He takes a final right turn and cycles for 1 km to stop at Point B. Point B is 6 km north of Point A. What is the value of x?
Option 1: 9
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 4
Solution : Firstly, we will draw the diagram as per the given instructions –
As we see, the distance (FE) = 2x + 1 is also equal to the distance (AB) + (CD).
AB = 6km; CD = 3Km
⇒ 2x + 1 = 6 + 3
⇒ 2x + 1 = 9
⇒ 2x = 9 – 1
⇒ 2x = 8
⇒ x = 8 ÷ 2
⇒ x = 4
So, the value of x is 4. Hence, the third option is correct.
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