A rat and a cat are 25m apart. When the rat started to run at 2km/h, the cat started to chase it at 10 km /h. Can the cat catch the rat in 20 seconds.
Needed the given, formula, solution and final answer, thank you!
Needed the given, formula, solution and final answer, thank you!
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Answer:
To determine if the cat can catch the rat in 20 seconds, we need to calculate the distance that the rat can cover in 20 seconds and compare it with the distance between the rat and the cat.
The distance that the rat can cover in 20 seconds at a speed of 2 km/h can be calculated as follows:
Distance = Speed x Time
Distance = 2 km/h x (20/3600) h (convert 20 seconds to hours)
Distance = 0.0111 km or 11.1 meters
Therefore, in 20 seconds, the rat can cover a distance of 11.1 meters.
Distance = Initial distance - Distance covered by the rat
Distance = 25 meters - 11.1 meters
Distance = 13.9 meters
Time = Distance / Speed
Time = 13.9 meters / (10 km/h x 1000 m/km x 1/3600 h/s)
Time = 1.39 seconds
The cat can cover the distance of 13.9 meters in 1.39 seconds, which is less than 20 seconds. Therefore, the cat can catch the rat in 20 seconds.
Answer:
Given:
Distance between rat and cat = 25m
Rat's speed = 2 km/h
Cat's speed = 10 km/h
Formula:
Let's assume that the cat catches the rat after time t.
Distance covered by the rat in time t = Rat's speed x t
Distance covered by the cat in time t = Cat's speed x t
If the cat catches the rat, then the distance covered by the cat must be equal to the distance covered by the rat.
So, Rat's speed x t = Cat's speed x t
t cancels out from both sides
Therefore, Distance covered by the rat = Distance covered by the cat
Solution:
We need to find out if the cat can catch the rat in 20 seconds.
Distance covered by the rat in 20 seconds = Rat's speed x time = 2 km/h x (20/3600) h = 0.0111 km
Distance covered by the cat in 20 seconds = Cat's speed x time = 10 km/h x (20/3600) h = 0.0556 km
Since the distance covered by the cat in 20 seconds (0.0556 km) is greater than the distance covered by the rat in 20 seconds (0.0111 km), the cat can catch the rat in 20 seconds.
Final Answer:
Yes, the cat can catch the rat in 20 seconds.