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Byju's Answer
Standard VI
Mathematics
Solving Equations x+a = b and x-a = b by Rearranging Terms
the mouse is ...
Question
the mouse is 20 m away from the burrow and can run at 3 m per sec . a cat spots the mouse and start running it at 6 m per sec .
a] how long it will take the mouse to reach its burrow
b] if the cat is X metre away from the mouse write an expression which tells how long it will take the cat to reach the burrow.
c] if the cat pounces upon the mouse when it is about to enter its burrow find the value of X
d] interpret your result
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Solution
Dear
Student
,
Distance
between
mouse
and
burrow
=
20
m
Speed
of
mouse
=
3
m
per
sec
Distance
between
cat
and
burrow
=
(
20
+
x
)
m
Speed
of
cat
=
6
m
per
sec
Now
,
a
)
Time
=
Distance
speed
of
mouse
=
20
3
=
6
.
67
sec
b
)
Time
=
Distance
speed
of
cat
⇒
t
=
20
+
x
6
(
here
t
is
time
)
c
)
If
cat
pounces
upon
th
emouse
when
it
is
about
to
enter
the
burrow
.
It
means
cat
also
need
6
.
67
sec
to
reach
the
burrow
.
So
,
put
t
=
6
.
67
or
20
3
sec
into
result
of
part
(
b
)
,
we
get
;
t
=
20
+
x
6
⇒
20
3
=
20
+
x
6
⇒
3
(
20
+
x
)
=
20
×
6
⇒
60
+
3
x
=
120
⇒
3
x
=
120
-
60
⇒
3
x
=
60
⇒
x
=
20
So
,
the
distance
between
mouse
and
cat
is
20
m
.
d
)
Interpretation
of
results
are
done
in
each
part
already
.
Regards
.
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Similar questions
Q.
The hungry cat is trying to catch Kunjan the mouse. Kunjan is now on the 14th step and it can jump 2 steps at a time. The cat is on the third step. She can jump 3 steps at a time. If the mouse reaches 28 it can hide in the hole. Find out whether the mouse can get a way safely!
(a) The steps on which the mouse jumps ― ____________________
(b) The steps on which the cat jumps ― ______________________
________________________________
(c) The steps on which both the cat and the mouse jump ―
(d) Can the mouse get away?
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If the cat starts from the 5th step and jumps five steps at a time and the mouse starts from the 8th step and jumps four steps at a time, can the mouse get away?