A frog is climbing out of a well that is 28 feet deep. The frog can climb 8 feet per hour, but then it rests for an hour, during which time it slips back 4 feet. How long will it take for the frog to get out of the well?
A) 7 hours
B) 17 hours
C) 8 hours
D) 28 hours
E) 56 hours

Question

A frog is climbing out of a well that is 28 feet deep. The frog can climb 8 feet per hour, but then it rests for an hour, during which time it slips back 4 feet. How long will it take for the frog to get out of the well? ​
A) 7 hours
B) 17 hours
C) 8 hours
D) 28 hours
E) 56 hours

Quizplus · Accepted Answer

The frog effectively climbs 4 feet every 2 hours (8 feet up, 4 feet down). After 6 such cycles (12 hours), it will have climbed 24 feet. In the next hour, it climbs 8 feet to reach the top, totaling 13 hours.

A Frog Is Climbing Out of a Well That Is