A snailis trying to climb up a cup left by some students that littered.Each hour the snail slithers up 2`` but when he is tired he sleeps and slides 1``.
How many hours until he reaches the top of the cup with a height of 10 is this an integer question?
Problems of this kind can be readily solved by the simple case of 2" in which case the snail gets out in 1 hour.
How much more time it takes him to climb an extra inch? Extra 8 inches?
To determine the number of hours it will take for the snail to reach the top of the cup, we need to consider its climbing and resting patterns.
1. Calculate the net distance the snail covers in one hour:
- The snail climbs up 2 inches.
- It also slides down 1 inch when it gets tired.
- Therefore, the snail covers a net distance of 2 - 1 = 1 inch in one hour.
2. Calculate the number of hours required to reach the top:
- The cup's height is 10 inches.
- Divide the total height by the net distance the snail covers in one hour: 10 / 1 = 10 hours.
Considering this information, it will take the snail 10 hours to reach the top of the cup if it climbs up 2 inches per hour and slides down 1 inch when tired.
Regarding the second part of your question, whether it is an integer question or not depends on how you define it. In this case, the answer is an integer, as the snail does not climb fractional inches or encounter any obstacles that would require fractional hours.