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Rohit travels a distance of 15 km towards South, then turns to his left and travels 25 km. He again turns left and travels 15 km. How far is he from his starting point?
  • a)
    25 km
  • b)
    20 km
  • c)
    15 km
  • d)
    10 km
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Rohit travels a distance of 15 km towards South, then turns to his le...
Solution:

Given:
Distance travelled towards South = 15 km
Distance travelled after turning left = 25 km
Distance travelled after turning left again = 15 km

To find:
The distance from the starting point.

Approach:
We can solve this problem by visualizing the movements of Rohit on a coordinate plane.

1. Initial Position:
Let's assume that Rohit's initial position is the origin (0,0) on the coordinate plane.

2. Movement towards South:
Rohit travels 15 km towards South. Since South is in the negative y-direction, his new position can be represented as (0, -15).

3. Turning left and travelling 25 km:
Rohit turns left, which means he will now move towards the negative x-direction. He travels 25 km in this direction. Therefore, his new position can be represented as (-25, -15).

4. Turning left again and travelling 15 km:
Rohit turns left again, which means he will now move towards the positive y-direction. He travels 15 km in this direction. Therefore, his final position can be represented as (-25, 0).

5. Calculating the distance from the starting point:
To calculate the distance from the starting point, we can use the distance formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Using this formula, the distance from the starting point can be calculated as:

Distance = √[(-25 - 0)^2 + (0 - (-15))^2]
= √[(-25)^2 + (15)^2]
= √[625 + 225]
= √850
≈ 29.15

Therefore, Rohit is approximately 29.15 km away from his starting point.

Conclusion:
The correct option is (A) 25 km, which is not the same as the calculated distance of 29.15 km. Therefore, the correct answer may be a typo or an error in the given options.
Free Test
Community Answer
Rohit travels a distance of 15 km towards South, then turns to his le...
AB = CD = 15 km
AD = BC = 25 km
He is 25 km far from his starting point.
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