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A deer and a rabbit can complete a full round on a circular track in 9 minutes and 5 minutes respectively. P, Q, R and S are the four consecutive points on the circular track which are equidistant from each other. P is opposite to R and Q is opposite to S. After how many minutes will they meet together for the first time, when both have started simultaneously from the same point in same direction(in min)?
- a)15/4
- b)45/4
- c)35/4
- d)25/4
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A deer and a rabbit can complete a full round on a circular track in 9...
Circumference of the track = LCM of 9 and 5 = 45 m.
Ratio of time of deer and rabbit = 9 : 5
Ratio of speed of deer and rabbit = 5 : 9
Relative Speed = 4 m/min
They meet together for the first time at the starting point = 45/4 min
Ratio of time of deer and rabbit = 9 : 5
Ratio of speed of deer and rabbit = 5 : 9
Relative Speed = 4 m/min
They meet together for the first time at the starting point = 45/4 min
Most Upvoted Answer
A deer and a rabbit can complete a full round on a circular track in 9...
To solve this problem, we need to find the time it takes for both the deer and the rabbit to meet at the same point on the circular track.
Let's assume the length of the track is L and the speed of the deer is D and the speed of the rabbit is R.
The time taken by the deer to complete one round is 9 minutes, so its speed is L/9. Similarly, the time taken by the rabbit to complete one round is 5 minutes, so its speed is L/5.
Since the deer and the rabbit are moving in the same direction, the relative speed between them will be the difference between their speeds. So, the relative speed is (L/5) - (L/9) = (4L - 5L)/45 = -L/45.
This negative sign indicates that the deer is moving slower than the rabbit. Now, let's calculate the time taken for them to meet.
The time taken for them to meet is equal to the time taken for the rabbit to cover the distance between them, which is L. So, the time taken is L / (-L/45) = -45.
Since time cannot be negative, we take the absolute value of -45, which is 45.
Therefore, the deer and the rabbit will meet for the first time after 45 minutes.
So, the correct answer is option B) 45/4.
Let's assume the length of the track is L and the speed of the deer is D and the speed of the rabbit is R.
The time taken by the deer to complete one round is 9 minutes, so its speed is L/9. Similarly, the time taken by the rabbit to complete one round is 5 minutes, so its speed is L/5.
Since the deer and the rabbit are moving in the same direction, the relative speed between them will be the difference between their speeds. So, the relative speed is (L/5) - (L/9) = (4L - 5L)/45 = -L/45.
This negative sign indicates that the deer is moving slower than the rabbit. Now, let's calculate the time taken for them to meet.
The time taken for them to meet is equal to the time taken for the rabbit to cover the distance between them, which is L. So, the time taken is L / (-L/45) = -45.
Since time cannot be negative, we take the absolute value of -45, which is 45.
Therefore, the deer and the rabbit will meet for the first time after 45 minutes.
So, the correct answer is option B) 45/4.
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Community Answer
A deer and a rabbit can complete a full round on a circular track in 9...
Difference of distance in 1 minute= 1/5- 1/9= 4/45 . So, to catch each other they will take 45/4 minutes. option- B
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A deer and a rabbit can complete a full round on a circular track in 9 minutes and 5 minutes respectively. P, Q, R and S are the four consecutive points on the circular track which are equidistant from each other. P is opposite to R and Q is opposite to S. After how many minutes will they meet together for the first time, when both have started simultaneously from the same point in same direction(in min)?a)15/4b)45/4c)35/4d)25/4e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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