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)

25
(ii)

30
(iii)

29
(iv)

28
(v)

27

Question 2

(i)

5
(ii)

3
(iii)

12
(iv)

6
(v)

1

Question 3

Two numbers are in the ratio 1 : 2. If 12 is added to each number, the ratio becomes 25 : 38. Find the numbers.

(i)

13

:

26
(ii)

11

:

22
(iii)

15

:

30
(iv)

12

:

24
(v)

14

:

28

Question 4

Find the number which bears the same ratio
to
1
2
that
1
4
does to
7
8

(i)

3
7
(ii)

1
5
(iii)

1
9
(iv)

1
7
(v)

(
-1
7
)

Question 5

The ages of A and B are in the ratio 10 : 7. 6 years hence, their ages will be in the ratio 11 : 8. Find their present ages.

(i)

60

:

42
(ii)

50

:

35
(iii)

40

:

28
(iv)

80

:

56

Question 6

The ages of A and B are in the ratio 10 : 9. 5 years ago, their ages were in the ratio 9 : 8. Find their present ages.

(i)

50

:

45
(ii)

40

:

36
(iii)

30

:

27
(iv)

70

:

63

Question 7

The ratio of males to females in a committee of 299 members is 17 : 6. How many more ladies should be added to the committee so that the ratio of males to females is 221 : 128?

(i)

51
(ii)

47
(iii)

49
(iv)

52
(v)

50

Question 8

A motor boat can move at a speed of 9.95 m/sec in still water. If it goes downstream for 210.52 sec, it travels a distance of 2821.00 m. What is the speed of the stream?

(i)

5.45 m/sec
(ii)

4.45 m/sec
(iii)

1.45 m/sec
(iv)

3.45 m/sec
(v)

2.45 m/sec

Question 9

The speed of a motor boat is 9.37 m/sec and the speed of a stream is 4.37 m/sec. A & B are two location adjacent to a stream. If it takes 1025.11 sec to go from point A to B and come back, What is the distance between A and B?

(i)

3756.01 m
(ii)

3758.01 m
(iii)

3757.01 m
(iv)

3760.01 m
(v)

3759.01 m

Question 10

10.

A train crosses a telegraph post in 37.57 sec and a bridge 279.49 m long in 58.35 sec. What is the length of the train?

(i)

505.32 m
(ii)

507.32 m
(iii)

506.32 m
(iv)

504.32 m
(v)

503.32 m

Question 11

11.

A train crosses a telegraph post in 37.19 sec and a bridge 1554.01 m long in 78.73 sec. What is the speed of the train?

(i)

39.41 m/sec
(ii)

37.41 m/sec
(iii)

38.41 m/sec
(iv)

36.41 m/sec
(v)

35.41 m/sec

Question 12

12.

A can do a work in
2

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

1

3
7

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

(i)

5

days
(ii)

6

days
(iii)

3

days
(iv)

7

days
(v)

4

days

Question 13

13.

Due to a leak at the bottom, pipe Y takes
10

hr
to fill the tank.

The leak alone can empty the full tank in
10

hr
.

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

(i)

5

hr
(ii)

6

hr
(iii)

2

hr
(iv)

4

hr
(v)

8

hr

Assignment Key