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)

33
(ii)

30
(iii)

29
(iv)

31
(v)

28

Question 2

(i)

6
(ii)

20
(iii)

5
(iv)

7
(v)

2

Question 3

Two numbers are in the ratio 3 : 9. If 18 is added to each number, the ratio becomes 7 : 17. Find the numbers.

(i)

45

:

135
(ii)

48

:

144
(iii)

39

:

117
(iv)

42

:

126
(v)

51

:

153

Question 4

Find the number which bears the same ratio
to
1
9
that
6
8
does to
1
9

(i)

9
14
(ii)

7
12
(iii)

9
10
(iv)

11
12
(v)

3
4

Question 5

The ages of A and B are in the ratio 4 : 3. 5 years hence, their ages will be in the ratio 9 : 7. Find their present ages.

(i)

36

:

27
(ii)

48

:

36
(iii)

40

:

30
(iv)

32

:

24

Question 6

The ages of A and B are in the ratio 9 : 5. 7 years ago, their ages were in the ratio 2 : 1. Find their present ages.

(i)

63

:

35
(ii)

45

:

25
(iii)

81

:

45
(iv)

54

:

30

Question 7

The ratio of males to females in a committee of 91 members is 3 : 4. How many more ladies should be added to the committee so that the ratio of males to females is 39 : 82?

(i)

33
(ii)

30
(iii)

28
(iv)

31
(v)

29

Question 8

A motor boat can move at a speed of 13.78 m/sec in still water. If it goes downstream for 131.06 sec, it travels a distance of 2785.00 m. What is the speed of the stream?

(i)

8.47 m/sec
(ii)

6.47 m/sec
(iii)

9.47 m/sec
(iv)

7.47 m/sec
(v)

5.47 m/sec

Question 9

The speed of a motor boat is 17.97 m/sec and the speed of a stream is 7.97 m/sec. A & B are two location adjacent to a stream. If it takes 677.93 sec to go from point A to B and come back, What is the distance between A and B?

(i)

4892.02 m
(ii)

4894.02 m
(iii)

4893.02 m
(iv)

4895.02 m
(v)

4891.02 m

Question 10

10.

A train crosses a telegraph post in 31.78 sec and a bridge 576.97 m long in 71.11 sec. What is the length of the train?

(i)

466.21 m
(ii)

465.21 m
(iii)

468.21 m
(iv)

467.21 m
(v)

464.21 m

Question 11

11.

A train crosses a telegraph post in 48.19 sec and a bridge 994.73 m long in 73.65 sec. What is the speed of the train?

(i)

40.07 m/sec
(ii)

37.07 m/sec
(iii)

39.07 m/sec
(iv)

41.07 m/sec
(v)

38.07 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

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

(i)

1

day
(ii)

4

days
(iii)

2

days
(iv)

3

days
(v)

0

days

Question 13

13.

Due to a leak at the bottom, pipe Y takes
16

hr
to fill the tank.

The leak alone can empty the full tank in
16

hr
.

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

(i)

8

hr
(ii)

9

hr
(iii)

5

hr
(iv)

7

hr
(v)

10

hr

Assignment Key