Question

Bruce has a pet worm that fell in a well. The well is 37 feet deep. Each day the worm climbs up 7 feet, but each night, It slides back down 2 feet. How many days will it take for Bruce's worm to get to the top of the well?​

Answer 1

7 days

Explanation:

On the last day, the pet worm will climb 7 feet and reach the top without sliding back down, so the pet worm will be 30 feet high on that day.

Before that day, the worm climbs 7 feet and slides down 2 feet, meaning the worm rises 5 feet per day.

30 feet / (5 feet/day) = 6 days

It takes the worm 6 days to reach a height of 30 feet. So on the 7th day, the worm gets to the top of the well.