A frog is climbing out of a well that is 11 feet deep.

Question

A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during which it slips back 1 foot. How long will it take for the frog to get out of the well?

Answer 1

Hello Tim,

Question: A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during which it slips back 1 foot. How long will it take for the frog to get out of the well?

Answer:

In first 2 hours it covers (3-1) = 2 ft ( as it goes 2ft forward and 1 ft backwards )

In next 2 hours it cover (3-1) = 2 ft

Total distance covered in 4 hours = 4 ft

So effective speed = 1 ft per hour

Thus, to cover a total distance of 11 ft

time required will be 11 hours

Answer 2

Hour Travel Cumulative

1 3 3

2 -1 2

3 3 5

4 -1 4

5 3 7

6 -1 6

7 3 9

8 -1 8

9 3 11

9 hours