The will dog catch up with the rabbit in 6 minutes assuming both their velocities remain constant during the chase.
<h3>What time will the dog catch the rabbit?</h3>
The time that the dog will catch up with the rabbit is given as follows:
Let the distance covered by the rabbit be x.
Distance covered by dog = x + 30
- Time taken = distance/speed
The time taken will be the same T
- Time taken by dog, T = (x + 30)/10
- Time taken by rabbit, T = x/5
Equating both times.
(x + 30)/10 = x/5
x = 30 m
Solving for T in equation (ii);
T = 30/5 = 6 minutes
In conclusion, time is obtained as a ratio of distance and speed.
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Given:
1st run: 20 meters North
2nd run: 15 meters East
time: 15 seconds
Average speed = total distance covered / total time taken
Ave. Speed = (20m + 15m) / 15s
Ave. Speed = 35m / 15s
Ave. Speed = 2 1/3 meters per second
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