A cat climbs a 21- meter pole. In the first minute it climbs 3 meter and in the second minute it descends one meter. In how minutes the cat would reach the top of the pole ?
Explanation
1. Calculate the Net Progress:
2. Handle the Final Leap:
In these problems, the cat will reach the top on an "upward" minute. We subtract the maximum jump (3 m) from the total height to find the point where the cycle logic applies.
Remaining Height=21 m−3 m=18 meters
3. Calculate Time for 18 Meters:
Since the cat climbs 2 meters every 2 minutes, the time taken to reach 18 meters is:
4. The Final Minute:
At the end of 18 minutes, the cat is at the 18-meter mark. In the next minute (19th minute), it will climb 3 meters.
Final Position=18 m+3 m=21 meters
Since it has reached the top, it will not descend.
5. Total Time:
Total Time=18 minutes+1 minute=19 minutes
Final Answer: