A well has 20 steps inside it. A frog is sitting at the first step. The water level is at the tenth step.
a. In every move the frog jumps 4 steps down and then jumps 3 steps up. Find the number of jumps in which he will reach the water level.
b. After reaching the water level, the frog jumps 4 steps up and 3 steps down in every move. In how many jumps will it return to the original position?
Please Answer This Question Step By Step With Correct Answer Please Fast
Answers
Answer:
(i) 1st jump 1+3=4th\ step1+3=4th step
2nd jump 4-2=\ 2nd\ step\4−2= 2nd step
3rd jump 2+3=5th\ step\2+3=5th step
4th jump 5-2=\ 3rd\ step\5−2= 3rd step
5th jump 3+3=6th\ step3+3=6th step
6th jump 6-2=4th\ step6−2=4th step
7th jump 4+3=7th\ step\4+3=7th step
8th jump 7-2\ =\ 5th\ step\7−2 = 5th step
9th jump 5+3=\ 8th\ step\5+3= 8th step
10th jump 8-2=\ 6th\ step\8−2= 6th step
11th jump 6+3=\ 9th\ step\6+3= 9th step
he will reach 9th step in 11th jumps.
(ii) 1st jump = 9-4=\ 5th\ step\9−4= 5th step
2nd jump = 5+2=\ 7th\ step5+2= 7th step
3rd jump = 7-4=\ 3rd\ step\7−4= 3rd step
4th jump = 3+2=\ 5th\ step\3+2= 5th step
5th jump = 5-4=\ 1st\ step\5−4= 1st step
he reach back on the first step in fifth steps.
Answer:
Step-by-step explanation-
1) The frog will start from the first step. It will jump 4 steps down, thus reaching on the 5th step. Then, because it jumps 3 steps back, it will go on 5-3=2nd step. (2jumps)
2) Then again it will go on the 3+4=7th step and come back 3 steps, which is, 7-3=4th step. (+2jumps)
3) Then, it will go on the 4+4=8th step and come back 3 steps, which is, 8-3= 5th step. (+2jumps)
4) Then it will go on the 5+4=9th step and come back 3 steps, which is, 9-3=6th step. (+2jumps)
5) Now, it has to reach the water level which is the 10th step. If it is on the 6th step, we will do 6+4=10th step, thus reaching the water level. (+1jump)
=9 jumps.
Therefore, The frog will have to go 9 jumps to reach the water level.