a tiger chases a horse 36m ahead of it and travels a distance of 4m in 5s after the chase started.after 10s the distance between them is
How fast is the horse running ?
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To find the distance between the tiger and the horse after 10 seconds, we need to calculate the total distance covered by both the tiger and the horse.
Given:
- The tiger travels a distance of 4m in 5 seconds after the chase started.
- The horse is initially 36m ahead of the tiger.
Let's break down the motion of the tiger and the horse:
1. Tiger's motion:
- In the first 5 seconds, the tiger covers a distance of 4m.
- So, the tiger's speed is 4m/5s = 0.8m/s.
2. Horse's motion:
- The horse started 36m ahead of the tiger.
- In the same 10 seconds, the horse will cover a distance equal to its initial distance of 36m plus the extra distance covered by the tiger.
- The extra distance covered by the tiger is its speed (0.8m/s) multiplied by the time (10s) = 0.8m/s * 10s = 8m.
- Therefore, the horse will cover a distance of 36m + 8m = 44m in 10 seconds.
Now, we can calculate the distance between them after 10 seconds:
- The tiger will have covered a total distance of 4m in 10 seconds.
- The horse will be 44m ahead of the tiger (since it started 36m ahead and covered an additional 8m).
- So, the distance between them after 10 seconds is 44m - 4m = 40m.