A and C are diagonally opposite to each other of a square field ABCD of sides 46km. D and B are in the East and North direction respectively from A. Where will Raj and Rahul meet for the first time if they start travelling from corner A in clockwise and anti-clockwise directions with speeds of 10km/hr and 13km/hr respectively?aOn BC at a distance of 34 from BbOn BC at a distance of 12 from BcOn CD at a distance of 34 from BdOn CD at a distance of 12 from B
Question
A and C are diagonally opposite to each other of a square field ABCD of sides 46km. D and B are in the East and North direction respectively from A. Where will Raj and Rahul meet for the first time if they start travelling from corner A in clockwise and anti-clockwise directions with speeds of 10km/hr and 13km/hr respectively?aOn BC at a distance of 34 from BbOn BC at a distance of 12 from BcOn CD at a distance of 34 from BdOn CD at a distance of 12 from B
Solution
First, let's calculate the total distance around the square field. Since each side is 46km, the total distance is 46km * 4 = 184km.
Next, let's calculate how long it will take for Raj and Rahul to meet. Since they are traveling in opposite directions, their combined speed is 10km/hr + 13km/hr = 23km/hr.
To find out when they will meet, we divide the total distance by their combined speed: 184km / 23km/hr = 8 hours.
Now, let's calculate how far each of them will have traveled in 8 hours. Raj will have traveled 10km/hr * 8hr = 80km, and Rahul will have traveled 13km/hr * 8hr = 104km.
Starting from point A, Raj will have traveled 80km in a clockwise direction. This means he will have traveled along the entire length of AD (46km), the entire length of DC (46km), and part of the length of CB (80km - 46km - 46km = 12km). So, Raj will be on BC at a distance of 12km from B.
Rahul, on the other hand, will have traveled 104km in an anti-clockwise direction. This means he will have traveled along the entire length of AB (46km), the entire length of BC (46km), and part of the length of CD (104km - 46km - 46km = 12km). So, Rahul will be on CD at a distance of 12km from C.
However, since B and C are adjacent corners of the square, the distance of 12km from B on BC and the distance of 12km from C on CD actually refer to the same point. Therefore, Raj and Rahul will meet on BC at a distance of 12km from B.
So, the answer is (b) On BC at a distance of 12 from B.
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