EduSahara™ Worksheet

EduSahara™ Assignment

Name : Word Problems on Linear Equations

Chapter : Linear Equations in One Variable

Grade : CBSE Grade VIII

License : Non Commercial Use

Question 1

(i)

31
(ii)

34
(iii)

35
(iv)

33
(v)

37

Question 2

(i)

8
(ii)

32
(iii)

6
(iv)

2
(v)

11

Question 3

Two numbers are in the ratio 8 : 13. If 14 is added to each number, the ratio becomes 118 : 183. Find the numbers.

(i)

112

:

182
(ii)

120

:

195
(iii)

88

:

143
(iv)

96

:

156
(v)

104

:

169

Question 4

Find the number which bears the same ratio
to
2
6
that
2
5
does to
14
45

(i)

1
2
(ii)

3
7
(iii)

2
7
(iv)

3
8
(v)

4
7

Question 5

The ages of A and B are in the ratio 5 : 9. 6 years hence, their ages will be in the ratio 3 : 5. Find their present ages.

(i)

40

:

72
(ii)

20

:

36
(iii)

30

:

54
(iv)

25

:

45

Question 6

The ages of A and B are in the ratio 5 : 7. 9 years ago, their ages were in the ratio 2 : 3. Find their present ages.

(i)

45

:

63
(ii)

35

:

49
(iii)

40

:

56
(iv)

55

:

77

Question 7

The ratio of males to females in a committee of 255 members is 7 : 8. How many more ladies should be added to the committee so that the ratio of males to females is 119 : 216?

(i)

83
(ii)

80
(iii)

81
(iv)

79
(v)

78

Question 8

A motor boat can move at a speed of 10.76 m/sec in still water. If it goes downstream for 140.20 sec, it travels a distance of 2846.00 m. What is the speed of the stream?

(i)

9.54 m/sec
(ii)

7.54 m/sec
(iii)

11.54 m/sec
(iv)

8.54 m/sec
(v)

10.54 m/sec

Question 9

The speed of a motor boat is 16.27 m/sec and the speed of a stream is 6.27 m/sec. A & B are two location adjacent to a stream. If it takes 611.82 sec to go from point A to B and come back, What is the distance between A and B?

(i)

4236.99 m
(ii)

4238.99 m
(iii)

4235.99 m
(iv)

4239.99 m
(v)

4237.99 m

Question 10

10.

A train crosses a telegraph post in 42.17 sec and a bridge 240.02 m long in 53.15 sec. What is the length of the train?

(i)

921.84 m
(ii)

923.84 m
(iii)

920.84 m
(iv)

919.84 m
(v)

922.84 m

Question 11

11.

A train crosses a telegraph post in 16.24 sec and a bridge 533.86 m long in 30.23 sec. What is the speed of the train?

(i)

36.16 m/sec
(ii)

37.16 m/sec
(iii)

39.16 m/sec
(iv)

40.16 m/sec
(v)

38.16 m/sec

Question 12

12.

A can do a work in
5

days
.
With the help of B, A can do the same work in

2

1
2

days
.
In how many days can B alone do the work?

(i)

6

days
(ii)

3

days
(iii)

8

days
(iv)

5

days
(v)

4

days

Question 13

13.

Due to a leak at the bottom, pipe Y takes
6

hr
to fill the tank.

The leak alone can empty the full tank in
30

hr
.

In what time can pipe Y alone fill the tank when the leak is closed?

(i)

8

hr
(ii)

5

hr
(iii)

6

hr
(iv)

4

hr
(v)

3

hr

Assignment Key