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)

3
(ii)

0
(iii)

4
(iv)

1
(v)

2

Question 2

(i)

5
(ii)

8
(iii)

48
(iv)

11

Question 3

Two numbers are in the ratio 7 : 18. If 12 is added to each number, the ratio becomes 5 : 12. Find the numbers.

(i)

84

:

216
(ii)

91

:

234
(iii)

105

:

270
(iv)

112

:

288
(v)

98

:

252

Question 4

Find the number which bears the same ratio
to
4
5
that
5
9
does to
34
45

(i)

12
17
(ii)

10
19
(iii)

8
17
(iv)

2
3
(v)

10
17

Question 5

The ages of A and B are in the ratio 6 : 5. 8 years hence, their ages will be in the ratio 7 : 6. Find their present ages.

(i)

42

:

35
(ii)

36

:

30
(iii)

60

:

50
(iv)

48

:

40

Question 6

The ages of A and B are in the ratio 4 : 3. 7 years ago, their ages were in the ratio 7 : 5. Find their present ages.

(i)

56

:

42
(ii)

64

:

48
(iii)

52

:

39
(iv)

48

:

36

Question 7

The ratio of males to females in a committee of 210 members is 11 : 4. How many more ladies should be added to the committee so that the ratio of males to females is 77 : 68?

(i)

79
(ii)

78
(iii)

83
(iv)

81
(v)

80

Question 8

A motor boat can move at a speed of 8.73 m/sec in still water. If it goes downstream for 142.24 sec, it travels a distance of 2199.00 m. What is the speed of the stream?

(i)

8.73 m/sec
(ii)

5.73 m/sec
(iii)

7.73 m/sec
(iv)

6.73 m/sec
(v)

4.73 m/sec

Question 9

The speed of a motor boat is 18.37 m/sec and the speed of a stream is 9.12 m/sec. A & B are two location adjacent to a stream. If it takes 719.24 sec to go from point A to B and come back, What is the distance between A and B?

(i)

4978.96 m
(ii)

4976.96 m
(iii)

4975.96 m
(iv)

4977.96 m
(v)

4979.96 m

Question 10

10.

A train crosses a telegraph post in 42.73 sec and a bridge 521.61 m long in 59.02 sec. What is the length of the train?

(i)

1369.21 m
(ii)

1368.21 m
(iii)

1367.21 m
(iv)

1366.21 m
(v)

1370.21 m

Question 11

11.

A train crosses a telegraph post in 39.33 sec and a bridge 632.79 m long in 80.42 sec. What is the speed of the train?

(i)

14.40 m/sec
(ii)

16.40 m/sec
(iii)

15.40 m/sec
(iv)

13.40 m/sec
(v)

17.40 m/sec

Question 12

12.

A can do a work in
9

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

4

4
17

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

(i)

10

days
(ii)

7

days
(iii)

9

days
(iv)

5

days
(v)

8

days

Question 13

13.

Due to a leak at the bottom, pipe Y takes
11

1
4

hr
to fill the tank.

The leak alone can empty the full tank in
45

hr
.

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

(i)

10

hr
(ii)

7

hr
(iii)

12

hr
(iv)

9

hr
(v)

8

hr

Assignment Key