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A frog is at the bottom of the well which is 20 meters deep. Everyday the frog jumps 5 meters upwards and fall 4 meters down.On which day the frog will reach the top?

 Dec 25, 2019

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 #4
avatar+12528 
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A frog is at the bottom of the well which is 20 meters deep. Everyday the frog jumps 5 meters upwards and fall 4 meters down.On which day the frog will reach the top?

laughlaughlaugh

 Dec 25, 2019
 #1
avatar+36916 
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Is reaching to top considerd to be when the frog falls back 4 meters and his height is 20 m from the bottom?

  if so, then each day he gains 1 meter in height    .....   it will take 20 days.  Not that for several days the frog's 5 meter jump will raise it higher than the lip of the well....but the frog falls back down.....

 Dec 25, 2019
 #2
avatar+2862 
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going off your answer, if the frog DID reach the top the moment it goes over the well top, regardless how much it falls:

 

 

the well is 20m deep, the frog jumps 5m. So the frog needs to reach 20 - 5 = 15m.

 

jumps 5m and falls 4m, so it jumps 5 - 4 = 1m

 

15m/1m=15

 

the frog reaches the top on the 15th day

CalculatorUser  Dec 25, 2019
 #3
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I think on the 15th day the frog will only be at 15 m   after he has fallen back 4m...then on THE SIXTEENTH day the frog's 5 m jump will clear the top of the well.....

Guest Dec 25, 2019
 #4
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Best Answer

A frog is at the bottom of the well which is 20 meters deep. Everyday the frog jumps 5 meters upwards and fall 4 meters down.On which day the frog will reach the top?

laughlaughlaugh

Omi67 Dec 25, 2019

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