If a well was 70-feet deep, the frog climbs 7 feet per hour, and it slips back 2 feet while resting? How long (in hours) will it take for the frog to get out of the well?

It took 14 hours to get out of the well.

Step-by-step explanation:

Consider the provided information.

The well was 70-feet deep, the frog climbs 7 feet per hour, and it slips back 2 feet while resting.

In first hr frog climbs 7 feet and slips back 2 feet, that means it climbs 5 feet in an hour.

In 2 hour it climbs 2 * 5 = 10 feet, in 3 hours it climbs 3 * 5 = 15 feet and so on.

Now we need to find the time taken by the frog to get out of the well.

By observing the above pattern we can say that after 13 hours it can climb 65 feet.

13 * 5 = 65 feet

In next hour frog will climb 65 feet + 7 feet = 72 feet.

That means after 14 hours frog can get out of the well.

Hence it took 14 hours to get out of the well.