A cat climbs a 21-meter pole. In the first minute it climbs 3 meters and in the second minute it descends one meter. In how many minutes will the cat reach the top of the pole?
Show Hint
- 21 minutes
- 18 minutes
- 19 minutes
- 20 minutes
The Correct Option is C
Solution and Explanation
Step 1: Calculate the net progress per 2-minute cycle.
In the first minute, the cat climbs 3 meters, and in the second minute, it descends 1 meter, effectively climbing 2 meters every 2 minutes.
Step 2: Determine how many cycles are required.
The total height of the pole is 21 meters. In each 2-minute cycle, the cat climbs 2 meters. So, to reach 19 meters, the cat needs: \[ \frac{19}{2} = 9.5 \quad \text{(round up to 10 cycles)}. \] Step 3: Account for the final climb.
In the 19th minute, the cat climbs 3 meters to reach the top, and thus, the total time is 19 minutes. Thus, the correct answer is: \[ \boxed{19 \, \text{minutes}}. \]
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