EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A motor boat can travel at a speed of 12.28 m/sec downstream and 4.40 m/sec upstream. How much time will it take to cross a distance of 243.53 m in still water?
(i)
31.20 sec
(ii)
29.20 sec
(iii)
27.20 sec
(iv)
30.20 sec
(v)
28.20 sec
Question
2
2.
Solve the following pair of equations :
−
2
x
−
2
y
=
6
2
x
+
4
y
=
(
−
10
)
(i)
(
-1
,
(
-1
2
)
)
(ii)
(
-1
,
(
-1
4
)
)
(iii)
(
2
,
(
-1
2
)
)
(iv)
(
0
,
(
-1
2
)
)
(v)
(
-1
,
1
2
)
Question
3
3.
A motor boat can travel at a speed of 22.99 m/sec downstream and 3.29 m/sec upstream. What is the speed of the stream?
(i)
8.85 m/sec
(ii)
11.85 m/sec
(iii)
9.85 m/sec
(iv)
10.85 m/sec
(v)
7.85 m/sec
Question
4
4.
1
men and
1
women can do a piece of work in
12
days.
1
men and
1
women can do the same work in
12
days.
In how many days can
3
men and
2
women complete the same work?
(i)
1
643304307
days
(ii)
(
-1
643304309
)
days
(iii)
3
643304309
days
(iv)
1
643304311
days
(v)
1
643304309
days
Question
5
5.
Solve the following pair of equations :
(
10
x
+
10
y
)
x
y
=
80
(
14
x
+
4
y
)
x
y
=
22
(i)
(
1
9
,
1
-1
)
(ii)
(
1
11
,
1
-1
)
(iii)
(
1
9
,
-2
)
(iv)
(
1
9
,
-4
)
(v)
(
1
3
,
1
-1
)
Question
6
6.
Solve the following pair of equations :
(
10
x
+
10
y
)
=
30
x
y
(
5
x
+
3
y
)
=
5
x
y
(i)
(
3
5
,
(
-1
2
)
)
(ii)
(
1
5
,
(
-1
4
)
)
(iii)
(
1
5
,
(
-1
2
)
)
(iv)
(
1
7
,
(
-1
2
)
)
(v)
(
1
5
,
1
2
)
Question
7
7.
Solve the following pair of equations :
−
5
x
−
4
y
=
(
−
32
)
3
x
+
9
y
=
39
(i)
(
1
6
,
1
3
)
(ii)
(
3
4
,
1
3
)
(iii)
(
1
4
,
1
)
(iv)
(
1
4
,
1
3
)
(v)
(
1
4
,
(
-1
3
)
)
Question
8
8.
Solve the following pair of equations :
9
(
x
+
y
)
−
1
(
x
−
y
)
=
(
−
12
)
8
(
x
+
y
)
−
3
(
x
−
y
)
=
2
(i)
(
(
-1
3
)
,
(
-1
2
)
)
(ii)
(
(
-1
3
)
,
(
-1
4
)
)
(iii)
(
(
-1
5
)
,
(
-1
6
)
)
(iv)
(
1
3
,
(
-1
6
)
)
(v)
(
(
-1
3
)
,
(
-1
6
)
)
Question
9
9.
Solve the following pair of equations :
(
−
16
x
+
7
y
)
x
y
=
81
(
−
10
x
+
5
y
)
x
y
=
45
(i)
(
(
-1
9
)
,
(
-1
11
)
)
(ii)
(
(
-1
9
)
,
(
-1
9
)
)
(iii)
(
(
-1
9
)
,
1
9
)
(iv)
(
(
-1
3
)
,
(
-1
9
)
)
(v)
(
(
-1
7
)
,
(
-1
9
)
)
Question
10
10.
Solve the following pair of equations :
−
18
(
x
−
7
)
+
4
(
y
−
6
)
=
(
−
90
)
−
17
(
x
−
7
)
+
13
(
y
−
6
)
=
(
−
2
)
(i)
(
1
,
55
9
)
(ii)
(
50
7
,
-1
)
(iii)
(
50
7
,
-2
)
(iv)
(
50
7
,
55
9
)
(v)
(
3
,
55
9
)
Question
11
11.
Solve
(
4
x
−
y
+
24
)
=
0
(
−
2
x
−
14
)
=
0
(i)
(
-5
,
-4
)
(ii)
(
-7
,
-5
)
(iii)
(
-6
,
-4
)
(iv)
(
-7
,
-4
)
(v)
(
-7
,
-6
)
Question
12
12.
A motor boat can travel at a speed of 19.95 m/sec downstream and 5.69 m/sec upstream. What is the speed of the motor boat in still water?
(i)
14.82 m/sec
(ii)
13.82 m/sec
(iii)
11.82 m/sec
(iv)
12.82 m/sec
(v)
10.82 m/sec
Question
13
13.
Solve
(
−
2
x
+
y
)
=
(
2
x
−
4
y
−
4
)
(
4
x
−
2
y
−
1
)
=
(
−
2
x
+
3
y
−
2
)
(i)
(
(
-9
4
)
,
(
-14
5
)
)
(ii)
(
(
-5
2
)
,
(
-14
5
)
)
(iii)
(
(
-9
4
)
,
(
-10
3
)
)
(iv)
(
(
-3
2
)
,
(
-16
5
)
)
(v)
(
(
-3
2
)
,
(
-10
3
)
)
Question
14
14.
Solve
(
5
x
−
5
y
+
4
)
=
0
(
−
x
−
2
y
−
3
)
=
0
(i)
(
(
-25
17
)
,
(
-11
15
)
)
(ii)
(
(
-7
5
)
,
(
-13
15
)
)
(iii)
(
(
-23
15
)
,
(
-11
15
)
)
(iv)
(
(
-7
5
)
,
(
-11
13
)
)
(v)
(
(
-25
17
)
,
(
-11
13
)
)
Question
15
15.
A motor boat can travel at a speed of 15.80 m/sec downstream and 0.86 m/sec upstream. How much time will it take to cross a distance of 404.75 m in still water?
(i)
47.59 sec
(ii)
49.59 sec
(iii)
46.59 sec
(iv)
48.59 sec
(v)
50.59 sec
Question
16
16.
A motor boat can travel at a speed of 25.29 m/sec downstream and 6.75 m/sec upstream. How much distance can the boat travel in 30.98 sec in still water?
(i)
496.30 m
(ii)
497.30 m
(iii)
494.30 m
(iv)
495.30 m
(v)
498.30 m
Question
17
17.
A motor boat can travel at a speed of 38.95 m/sec downstream and 1.19 m/sec upstream. How much distance can the boat travel in 10.42 sec in still water?
(i)
210.13 m
(ii)
207.13 m
(iii)
211.13 m
(iv)
209.13 m
(v)
208.13 m
Question
18
18.
Solve the following pair of equations :
−
7
x
−
3
y
=
45
5
x
−
11
y
=
(
−
19
)
(i)
(
-6
,
-2
)
(ii)
(
-6
,
-4
)
(iii)
(
-4
,
1
-1
)
(iv)
(
-5
,
1
-1
)
(v)
(
-6
,
1
-1
)
Question
19
19.
Solve
(
−
2
x
−
5
y
+
5
)
=
4
(
−
2
x
+
3
y
+
3
)
=
5
(i)
(
(
-5
16
)
,
1
8
)
(ii)
(
(
-5
16
)
,
1
2
)
(iii)
(
(
-7
18
)
,
3
8
)
(iv)
(
(
-7
18
)
,
1
2
)
(v)
(
(
-7
16
)
,
3
8
)
Question
20
20.
Solve the following pair of equations :
−
8
(
5
x
+
y
)
−
10
(
5
x
−
y
)
=
(
−
26
)
−
1
(
5
x
+
y
)
−
7
(
5
x
−
y
)
=
(
−
32
)
(i)
(
1
75
,
(
-4
15
)
)
(ii)
(
(
-1
75
)
,
(
-4
13
)
)
(iii)
(
(
-1
77
)
,
(
-4
15
)
)
(iv)
(
(
-1
75
)
,
(
-2
5
)
)
(v)
(
(
-1
75
)
,
(
-4
15
)
)
Question
21
21.
Solve
(
−
2
x
−
5
y
+
2
)
=
0
(
4
x
+
2
y
+
2
)
=
0
(i)
(
(
-5
8
)
,
3
2
)
(ii)
(
(
-5
8
)
,
1
4
)
(iii)
(
(
-7
8
)
,
3
4
)
(iv)
(
(
-7
10
)
,
3
2
)
(v)
(
(
-7
10
)
,
3
4
)
Question
22
22.
Solve
(
−
2
y
−
6
)
=
0
(
6
x
−
12
y
+
12
)
=
0
(i)
(
-8
,
-6
)
(ii)
(
-7
,
-3
)
(iii)
(
-6
,
-3
)
(iv)
(
-8
,
-3
)
(v)
(
-8
,
-4
)
Question
23
23.
Solve
(
−
x
−
y
+
2
)
=
(
−
4
)
(
x
+
4
y
+
5
)
=
3
(i)
(
42
5
,
(
-8
3
)
)
(ii)
(
28
3
,
-4
)
(iii)
(
26
3
,
(
-8
3
)
)
(iv)
(
42
5
,
-4
)
(v)
(
28
3
,
(
-10
3
)
)
Question
24
24.
A motor boat can travel at a speed of 42.10 m/sec downstream and 23.78 m/sec upstream. What is the speed of the stream?
(i)
9.16 m/sec
(ii)
10.16 m/sec
(iii)
8.16 m/sec
(iv)
11.16 m/sec
(v)
7.16 m/sec
Question
25
25.
Solve the following pair of equations :
2
x
+
5
y
=
(
−
17
)
−
3
x
−
10
y
=
33
(i)
(
1
-1
,
-4
)
(ii)
(
0
,
-3
)
(iii)
(
1
-1
,
-6
)
(iv)
(
1
-1
,
-3
)
(v)
(
2
,
-3
)
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (v)
5) (i)
6) (iii)
7) (iv)
8) (v)
9) (ii)
10) (iv)
11) (iv)
12) (iv)
13) (ii)
14) (iii)
15) (iv)
16) (i)
17) (iv)
18) (v)
19) (v)
20) (v)
21) (iii)
22) (iv)
23) (iii)
24) (i)
25) (iv)
