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One day, Ravi cycled 20 Km southwards, turned right and cycled 10 Km and turned right and cycled 20 Km and turned left and cycled 10 Km. How many kilometres will he have to cycle to reach his home straight ?
- a)50 Km
- b)20 Km
- c)40 Km
- d)30 Km
Correct answer is option 'B'. Can you explain this answer?
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One day, Ravi cycled 20 Km southwards, turned right and cycled 10 Km a...
To solve this problem, we need to visualize Ravi's movements and determine the distance he needs to cycle to reach his home straight.
Ravi cycled 20 km southwards:
- This means he moved 20 km in the south direction.
Ravi then turned right and cycled 10 km:
- Since he turned right, he moved towards the west direction for 10 km.
Ravi then turned right again and cycled 20 km:
- Now, he is moving towards the north direction for 20 km.
Ravi then turned left and cycled 10 km:
- As he turned left, he is now moving towards the west direction again, this time for 10 km.
To determine the distance he needs to cycle to reach his home straight, we need to consider the distance between his current position and his starting point.
Analyzing the directions and distances, we can see that Ravi has cycled a total of 20 km southwards, 10 km westwards, 20 km northwards, and 10 km westwards.
To return to his starting point, he needs to travel in the opposite direction for each leg of his journey.
So, he needs to cycle 20 km northwards, 10 km eastwards, 20 km southwards, and 10 km eastwards.
Therefore, the total distance he needs to cycle to reach his home straight is:
20 km + 10 km + 20 km + 10 km = 60 km
However, the question specifically asks for the distance in a straight line, so we need to calculate the straight-line distance between his current position and his starting point.
Using the Pythagorean theorem, we can calculate the straight-line distance as follows:
Distance = √((20 km)^2 + (10 km)^2)
= √(400 km^2 + 100 km^2)
= √500 km^2
= 22.36 km (approximately)
Therefore, Ravi needs to cycle approximately 22.36 km to reach his home straight.
None of the provided options (a, b, c, or d) matches this answer.
Ravi cycled 20 km southwards:
- This means he moved 20 km in the south direction.
Ravi then turned right and cycled 10 km:
- Since he turned right, he moved towards the west direction for 10 km.
Ravi then turned right again and cycled 20 km:
- Now, he is moving towards the north direction for 20 km.
Ravi then turned left and cycled 10 km:
- As he turned left, he is now moving towards the west direction again, this time for 10 km.
To determine the distance he needs to cycle to reach his home straight, we need to consider the distance between his current position and his starting point.
Analyzing the directions and distances, we can see that Ravi has cycled a total of 20 km southwards, 10 km westwards, 20 km northwards, and 10 km westwards.
To return to his starting point, he needs to travel in the opposite direction for each leg of his journey.
So, he needs to cycle 20 km northwards, 10 km eastwards, 20 km southwards, and 10 km eastwards.
Therefore, the total distance he needs to cycle to reach his home straight is:
20 km + 10 km + 20 km + 10 km = 60 km
However, the question specifically asks for the distance in a straight line, so we need to calculate the straight-line distance between his current position and his starting point.
Using the Pythagorean theorem, we can calculate the straight-line distance as follows:
Distance = √((20 km)^2 + (10 km)^2)
= √(400 km^2 + 100 km^2)
= √500 km^2
= 22.36 km (approximately)
Therefore, Ravi needs to cycle approximately 22.36 km to reach his home straight.
None of the provided options (a, b, c, or d) matches this answer.
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One day, Ravi cycled 20 Km southwards, turned right and cycled 10 Km and turned right and cycled 20 Km and turned left and cycled 10 Km. How many kilometres will he have to cycle to reach his home straight ?a)50 Kmb)20 Kmc)40 Kmd)30 KmCorrect answer is option 'B'. Can you explain this answer?
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