A frog tries come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30cm , slides down 15cm. What is the number of jumps required for the frog to come out of the well ?
Answers
Answer:
30 jumps
Step-by-step explanation:
frog jumps 30cm, n comes down 15cm
means total of 30-15=15cm
now,
4.5m = 450cm
finally divide 450cm by 15cm
giving 30 jumps
Given: A frog tries come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30cm , slides down 15cm.
To find: Number of jumps required for the frog to come out
Solution: Distance jumped by frog= 30 cm
Distance slipped= 15 cm
Effective distance covered in single jump
= 30-15 cm
= 15 cm
Total depth of the well
= 4.5 m
= 4.5 × 100 cm ( 1 m = 100 cm)
= 450 cm
Let the total jumps required be x.
Now, when the frog reaches 420 m after (x-1) jumps, the last jump of 30 cm will be enough to get out of the well and there would be no slipping after getting out. Therefore, the slip happens for only (x-1) times.
Therefore,
30x - 15(x-1) = 450
=> 30x - 15x +15 = 450
=> 15x = 450-15
=> 15x = 435
=> x = 435/15
=> x = 29
Therefore, the frog requires 29 jumps to come out of the dried well.