The question is followed by two statements, A and B. Answer the questi...
Using statement A alone:
The direction in which A and B are running with respect to each other is not known. So, their relative speed cannot be found.
Hence, a unique answer is not obtained for the number of times they meet.
Thus, the question cannot be answered using statement A alone.
Using statement B alone:
Since the speeds of A and B are not known, their relative speed cannot be found.
Thus, the question cannot be answered using statement B alone.
Using statements A and B together:
Whenever A and B meet, they cover a total distance equal to the circumference of the track.
Since the time is the same, the distance covered by each of them is directly proportional to their individual speed.
Once the distance covered by B for one meeting is known, the number of meetings can be found.
Thus, the question can be answered using both the statements together but not by using either statement alone.
Hence, option 4.
Note: It is not necessary to find the actual number of times A and B meet.
Once you know that all the data required to find this value is present, you can directly mark option 4.
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The question is followed by two statements, A and B. Answer the questi...
Statement A: The speeds of A and B are 8 m/s and 8.8 m/s.
Statement B: The track is 126 m long and they run in opposite directions.
To find out how many times A and B will meet, we need to consider the relative speeds of A and B and the distance they cover.
Solving using Statement A:
If we only consider Statement A, we know the speeds of A and B. However, we do not have any information about the distance they cover or the direction in which they are running. Therefore, we cannot determine the number of times they will meet based on Statement A alone.
Solving using Statement B:
If we only consider Statement B, we know the length of the track and the fact that A and B are running in opposite directions. However, we do not have any information about their speeds. Therefore, we cannot determine the number of times they will meet based on Statement B alone.
Solving using both statements together:
When we combine both statements, we have information about both the speeds and the distance. We know that A and B have speeds of 8 m/s and 8.8 m/s respectively, and that they are running in opposite directions on a track that is 126 m long.
To determine the number of times they will meet, we need to find the time it takes for B to cover 726 m. We can calculate this using the formula:
Time = Distance / Speed
For B, the time taken to cover 726 m is:
Time taken by B = 726 m / 8.8 m/s
Now, we need to find the number of times A and B will meet within this time.
Since they are running in opposite directions, they will meet whenever the sum of the distances covered by A and B is equal to the length of the track (126 m).
Let's assume they meet n times within the given time.
The distance covered by A in n meetings = n * distance covered by A in one meeting
The distance covered by B in n meetings = n * distance covered by B in one meeting
Since the time taken by B to cover 726 m is the same as the time taken by A to cover n * 126 m, we can equate the two:
Time taken by A = Time taken by B
Distance covered by A in n meetings / Speed of A = Distance covered by B in n meetings / Speed of B
Plugging in the values, we get:
n * 126 / 8 m/s = 726 m / 8.8 m/s
Simplifying the equation, we can solve for n:
n = (726 / 8.8) * (8 / 126)
n ≈ 6.875
Since the number of meetings cannot be fractional, we round down to the nearest whole number.
Therefore, A and B will meet approximately 6 times when B covers 726 m.
Hence, the correct answer is option (4) A and B will meet 6 times when B covers 726 m.
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