Answer:
7 days.
Step-by-step explanation:
Given,
The depth of the well = 37 feet,
Also, each day, the worm climbs up 7 feet, but each night, it slides back down 2 feet.
Thus, the total vertical distance covered by it in a day = 7 - 2 = 5 feet,
Now, since, at the last 7 feet it will not slide back,
Thus, the distance it has to cover at the rate of 5 feet per day = 37 - 7 = 30 feet,
So, the time taken by it to cover 30 feet = = 6 days,
Hence, the total time taken by it = the time taken by it to cover 30 feet + The time taken to climb up last 7 feet
= 6 days + 1 day
= 7 days.