8
A water tank has steps inside it. A monkey is sitting on the topmost step (ie the first stepl. The water level
is at the tenth step:
(ii) After drinking water, he want to go back. For this, he jumps 3 steps up and 1 step down in every move
In how many jumps will he reach the top level?
Answers
Question ⤵️
Question
A water tank has steps inside it. A monkey is sitting on the topmost step
C
(i.e; the first step).The water level is on the ninth step.
i) He jumps
3
steps down and then jumps back
2
up. In how many jumps will he reach the water level?
ii) After drinking water he wants to go back. For this he jumps
4
steps up and then jumps back
2
steps down in every move. In how many jumps will he reach back the top step?
iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his move in part(i) & (ii) by completing the following
a
)
−
3
+
2
−
.
.
.
=
−
8
b
)
4
−
2
+
…
.
=
8
.
In (a) the sum
(
−
8
)
represents going down by
8
steps. So, what will the sum
8
in (b) represent?
Answer ⤵️
Steps:
i) Monkey jumps
3
steps down and then back
2
steps up. The jumps of monkey can be represented as:–
First jump
=
1
+
3
=
4
steps
Second jump
=
4
–
2
=
2
steps
Third jump
=
2
+
3
=
5
steps
Fourth jump
=
5
–
2
=
3
steps
Fifth jump
=
3
+
3
=
6
steps
Sixth jump
=
6
–
2
=
4
steps
Seventh jump
=
4
+
3
=
7
steps
Eighth jump
=
7
–
2
=
5
steps
Ninth jump
=
5
+
3
=
8
steps
Tenth jump
=
8
–
2
=
6
steps
Eleventh jump
=
6
+
3
=
9
steps
Monkey will reach ninth step in
11
jumps.
ii) Monkey jumps
4
steps up and then jumps back
2
steps down in every ove. The jumps of monkey can be represented as follows;–
First jump
=
9
–
4
=
5
steps
Second jump
=
5
+
2
=
7
steps
Third jump
=
7
–
4
=
3
steps
Fourth jump
=
3
+
2
=
5
steps
Fifth jump
=
5
–
4
=
1
step
The monkey will reach back the top step after
5
jumps.
iii) Moves in part (i)
[
−
3
+
2
−
3
+
2
−
3
+
2
−
3
+
2
−
3
+
2
=
−
8
]
which represents the monkey goes down by
8
steps
Moves in part (ii)
4
–
2
+
4
–
2
+
4
=
8
,
the sum
8
in (b) represents the monkey goes up by
8
steps.
Answer:
i hope that this would help you
Step-by-step explanation:
5 moves are required