Question : Directions: Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?
Option 1: 5 km
Option 2: 9 km
Option 3: 2 km
Option 4: 6 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and B is the endpoint.
For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem,
⇒ (AC)
2
+ (BC)
2
= (AB)
2
⇒ (4)
2
+ (3)
2
= (AB)
2
⇒ 16 + 9 = (AB)
2
⇒ (AB)
2
= 25
⇒ AB = 5 km
So, the shortest distance from Mayank's office to the hotel is 5 km. Hence, the first option is correct.
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