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)

41
(ii)

39
(iii)

36
(iv)

38
(v)

40

Question 2

(i)

2
(ii)

4
(iii)

0
(iv)

3
(v)

12

Question 3

Two numbers are in the ratio 3 : 20. If 20 is added to each number, the ratio becomes 59 : 280. Find the numbers.

(i)

39

:

260
(ii)

36

:

240
(iii)

42

:

280
(iv)

33

:

220
(v)

45

:

300

Question 4

Find the number which bears the same ratio
to
5
6
that
2
4
does to
85
84

(i)

7
19
(ii)

7
15
(iii)

7
17
(iv)

5
17
(v)

9
17

Question 5

The ages of A and B are in the ratio 8 : 9. 6 years hence, their ages will be in the ratio 9 : 10. Find their present ages.

(i)

48

:

54
(ii)

40

:

45
(iii)

32

:

36
(iv)

64

:

72

Question 6

The ages of A and B are in the ratio 5 : 4. 6 years ago, their ages were in the ratio 9 : 7. Find their present ages.

(i)

70

:

56
(ii)

60

:

48
(iii)

50

:

40
(iv)

55

:

44

Question 7

The ratio of males to females in a committee of 76 members is 3 : 1. How many more ladies should be added to the committee so that the ratio of males to females is 57 : 83?

(i)

63
(ii)

66
(iii)

65
(iv)

64
(v)

62

Question 8

A motor boat can move at a speed of 15.36 m/sec in still water. If it goes downstream for 167.93 sec, it travels a distance of 3948.00 m. What is the speed of the stream?

(i)

6.15 m/sec
(ii)

9.15 m/sec
(iii)

10.15 m/sec
(iv)

7.15 m/sec
(v)

8.15 m/sec

Question 9

The speed of a motor boat is 16.66 m/sec and the speed of a stream is 8.66 m/sec. A & B are two location adjacent to a stream. If it takes 335.07 sec to go from point A to B and come back, What is the distance between A and B?

(i)

2037.97 m
(ii)

2038.97 m
(iii)

2036.97 m
(iv)

2035.97 m
(v)

2034.97 m

Question 10

10.

A train crosses a telegraph post in 24.29 sec and a bridge 584.33 m long in 43.17 sec. What is the length of the train?

(i)

751.78 m
(ii)

753.78 m
(iii)

752.78 m
(iv)

750.78 m
(v)

749.78 m

Question 11

11.

A train crosses a telegraph post in 13.03 sec and a bridge 1227.09 m long in 38.52 sec. What is the speed of the train?

(i)

46.14 m/sec
(ii)

48.14 m/sec
(iii)

49.14 m/sec
(iv)

50.14 m/sec
(v)

47.14 m/sec

Question 12

12.

A can do a work in
4

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)

5

days
(ii)

2

days
(iii)

3

days
(iv)

-1

days
(v)

1

day

Question 13

13.

Due to a leak at the bottom, pipe Y takes
12

hr
to fill the tank.

The leak alone can empty the full tank in
24

hr
.

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

(i)

11

hr
(ii)

7

hr
(iii)

9

hr
(iv)

5

hr
(v)

8

hr

Assignment Key