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One day Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. how many kilometers will he have to cycle to reach his home straight?
  • a)
    10 km
  • b)
    15 km
  • c)
    20 km
  • d)
    25 km
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
One day Ravi left home and cycled 10 km southwards, turned right and ...
To solve this question, we need to visualize the movements of Ravi on a map. Let's break down the given information step by step:

1. Ravi starts from his home and cycles 10 km southwards.
2. He then turns right and cycles 5 km.
3. After that, he turns right again and cycles 10 km.
4. Finally, he turns left and cycles 10 km.

We need to calculate the distance Ravi needs to cycle to reach his home straight.

Let's analyze the movements:

1. Cycling 10 km southwards: This means Ravi moves 10 km away from his home in the south direction.

2. Turning right and cycling 5 km: After moving south, Ravi turns right and cycles 5 km. This means he is moving 5 km towards the west.

3. Turning right again and cycling 10 km: After moving west, Ravi turns right again and cycles 10 km. This means he is moving 10 km towards the north.

4. Turning left and cycling 10 km: Finally, Ravi turns left and cycles 10 km. This means he is moving 10 km towards the west.

Now, let's calculate the total distance Ravi needs to cycle to reach his home straight:

- Ravi has moved 10 km southwards.
- Then, he moved 5 km westwards.
- Next, he moved 10 km northwards.
- Finally, he moved 10 km westwards.

To calculate the straight distance to his home, we need to find the net distance in the north-south direction and the net distance in the east-west direction.

Net distance in the north-south direction: 10 km (north) - 10 km (south) = 0 km
Net distance in the east-west direction: 5 km (west) + 10 km (west) = 15 km

Therefore, Ravi needs to cycle 15 km to reach his home straight.

Hence, the correct answer is option B) 15 km.
Free Test
Community Answer
One day Ravi left home and cycled 10 km southwards, turned right and ...
According to diagram, to reach his home straight way he has to make a distance of AE.
AE = AD + DE and AD = BC = 5
= AD + DE
= (5 + 10) km
= 15 km
Hence, the correct option is (B).
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