Q. A frog tries to come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. what is the number of jumps required for the frog to come out of the well?

Explanation :

Frog tries to come out of well

Given:
– Well depth = 4.5 meters = 450 cm
– Each jump up = 30 cm
– Each slide down = 15 cm
– Net progress per jump = 30 cm – 15 cm = 15 cm

Solution:
1. Initial calculation:
– Distance to cover = 450 cm
– Net progress per jump = 15 cm
– Number of jumps = 450 ÷ 15 = 30 jumps

2. Important consideration:
– When frog reaches the top, it won’t slide down
– Last jump will give full 30 cm progress, not 15 cm
– This saves one jump

3. Final calculation:
– First 28 jumps: 28 × 15 cm = 420 cm
– Last jump: 30 cm
– Total distance = 420 + 30 = 450 cm
– Total jumps needed = 29

Therefore, the frog needs 29 jumps to come out of the well.