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)

17
(ii)

16
(iii)

20
(iv)

18
(v)

19

Question 2

(i)

36
(ii)

9
(iii)

7
(iv)

11
(v)

6

Question 3

Two numbers are in the ratio 4 : 10. If 16 is added to each number, the ratio becomes 1 : 2. Find the numbers.

(i)

36

:

90
(ii)

28

:

70
(iii)

24

:

60
(iv)

32

:

80
(v)

40

:

100

Question 4

Find the number which bears the same ratio
to
1
3
that
5
8
does to
5
9

(i)

1
2
(ii)

3
8
(iii)

3
7
(iv)

1
3
(v)

1
4

Question 5

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

(i)

72

:

84
(ii)

60

:

70
(iii)

48

:

56
(iv)

54

:

63

Question 6

The ages of A and B are in the ratio 10 : 9. 7 years ago, their ages were in the ratio 9 : 8. Find their present ages.

(i)

50

:

45
(ii)

70

:

63
(iii)

60

:

54
(iv)

90

:

81

Question 7

The ratio of males to females in a committee of 496 members is 13 : 18. How many more ladies should be added to the committee so that the ratio of males to females is 104 : 165?

(i)

44
(ii)

41
(iii)

39
(iv)

43
(v)

42

Question 8

A motor boat can move at a speed of 16.57 m/sec in still water. If it goes downstream for 44.53 sec, it travels a distance of 1326.00 m. What is the speed of the stream?

(i)

13.21 m/sec
(ii)

12.21 m/sec
(iii)

11.21 m/sec
(iv)

15.21 m/sec
(v)

14.21 m/sec

Question 9

The speed of a motor boat is 17.18 m/sec and the speed of a stream is 7.18 m/sec. A & B are two location adjacent to a stream. If it takes 442.05 sec to go from point A to B and come back, What is the distance between A and B?

(i)

3132.97 m
(ii)

3133.97 m
(iii)

3131.97 m
(iv)

3135.97 m
(v)

3134.97 m

Question 10

10.

A train crosses a telegraph post in 38.39 sec and a bridge 735.64 m long in 53.05 sec. What is the length of the train?

(i)

1928.41 m
(ii)

1927.41 m
(iii)

1924.41 m
(iv)

1925.41 m
(v)

1926.41 m

Question 11

11.

A train crosses a telegraph post in 37.50 sec and a bridge 664.02 m long in 53.52 sec. What is the speed of the train?

(i)

41.45 m/sec
(ii)

42.45 m/sec
(iii)

40.45 m/sec
(iv)

43.45 m/sec
(v)

39.45 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

1
3

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

(i)

6

days
(ii)

5

days
(iii)

3

days
(iv)

4

days
(v)

2

days

Question 13

13.

Due to a leak at the bottom, pipe Y takes
7

1
2

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)

7

hr
(ii)

4

hr
(iii)

5

hr
(iv)

8

hr
(v)

6

hr

Assignment Key