EduSahara™ Worksheet

Question 1

1.

The speed of a motor boat is 20.06 m/sec and the speed of a stream is 6.14 m/sec. A & B are two location adjacent to a stream. If it takes 298.77 sec to go from point A to B and come back, What is the distance between A and B?

(i)

2717.92 m
(ii)

2715.92 m
(iii)

2714.92 m
(iv)

2716.92 m
(v)

2713.92 m

Question 2

2.

A student walks from his house to school at 4.68 kmph and arrives 41.70 min late. The next day he walks at 20.86 kmph and reaches the school 3.90 min before time. What is the distance from his house to school?

(i)

3.59 km
(ii)

6.59 km
(iii)

4.59 km
(iv)

2.59 km
(v)

5.59 km

Question 3

3.

A student walks from his house to school at 5.22 kmph and arrives 25.70 min late. The next day he walks at 11.30 kmph and reaches the school 5.40 min before time. At what speed must he travel to reach the school on time?

(i)

9.40 kmph
(ii)

11.40 kmph
(iii)

10.40 kmph
(iv)

8.40 kmph
(v)

7.40 kmph

Question 4

4.

A train crosses a telegraph post in 16.94 sec and a bridge 1440.48 m long in 58.79 sec. What is the length of the train?

(i)

582.07 m
(ii)

583.07 m
(iii)

581.07 m
(iv)

585.07 m
(v)

584.07 m

Question 5

5.

A train crosses a telegraph post in 11.68 sec and a bridge 624.94 m long in 53.37 sec. What is the speed of the train?

(i)

15.99 m/sec
(ii)

14.99 m/sec
(iii)

16.99 m/sec
(iv)

12.99 m/sec
(v)

13.99 m/sec

Question 6

6.

A can do a work in
7

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

3

15
16

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

(i)

10

days
(ii)

12

days
(iii)

8

days
(iv)

7

days
(v)

9

days

Question 7

7.

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)

5

hr
(ii)

9

hr
(iii)

8

hr
(iv)

10

hr
(v)

7

hr

Question 8

8.

A and B together can do a piece of work in
5

5
21

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
8

1
11

days
.

In how much time can each of them do the work seperately?

(i)

(

11

days

,

9

days

)
(ii)

(

11

days

,

10

days

)
(iii)

(

10

days

,

10

days

)
(iv)

(

11

days

,

11

days

)
(v)

(

12

days

,

10

days

)

Question 9

9.

A can do
1
5
of a work in
2

4
5

hr
.

He works for
5

hr
when B joins him.

They work together and complete the work in
3

12
23

hr
.

In how much time, B alone can do the work?

(i)

6

hr
(ii)

10

hr
(iii)

9

hr
(iv)

11

hr
(v)

8

hr

Question 10

10.

(i)

2
(ii)

45
(iii)

5
(iv)

8

Question 11

11.

The work done by (2x) men in (10x) days and work done by (42x) men in (x + 1) days is in the ratio of 20 : 63 . Find the value of x

(i)

4
(ii)

1
(iii)

3
(iv)

0
(v)

2

Question 12

12.

In an examination, the ratio of passes to failures was 3 : 1.
Had 15 less appeared and 20 less passed, the ratio of passes to failures would have been 8 : 5.
How many students appeared for the examination?

(i)

90
(ii)

70
(iii)

85
(iv)

80
(v)

75

Question 13

13.

In a company, the number of engineers to managers is in the ratio 3 : 1 . After a year, when 15 engineers and 20 managers left, the ratio between engineers to managers is 45 : 0 . Find the number of engineers and managers at the beginning?

(i)

60
(ii)

70
(iii)

100
(iv)

80
(v)

90

Question 14

14.

What number must be added to each term of the ratio
64

:

112
to make it
5

:

6
?

(i)

179
(ii)

176
(iii)

175
(iv)

173
(v)

177

Question 15

15.

Two numbers are in the ratio 10 : 11. If 18 is added to each number, the ratio becomes 56 : 61. Find the numbers.

(i)

140

:

154
(ii)

150

:

165
(iii)

170

:

187
(iv)

130

:

143
(v)

160

:

176

Question 16

16.

The ratio of two numbers is

2

:

3

and their LCM is 84. Find the numbers.

(i)

28

:

42
(ii)

26

:

39
(iii)

24

:

36
(iv)

32

:

48
(v)

30

:

45

Question 17

17.

Find the number which bears the same ratio
to
3
8
that
5
9
does to
13
24

(i)

5
13
(ii)

5
11
(iii)

1
3
(iv)

7
13
(v)

3
13

Question 18

18.

The ages of A and B are in the ratio 7 : 5. 6 years hence, their ages will be in the ratio 4 : 3. Find their present ages.

(i)

42

:

30
(ii)

56

:

40
(iii)

35

:

25
(iv)

28

:

20

Question 19

19.

The ages of A and B are in the ratio 2 : 3. 7 years ago, their ages were in the ratio 5 : 8. Find their present ages.

(i)

46

:

69
(ii)

40

:

60
(iii)

38

:

57
(iv)

42

:

63

Question 20

20.

(i)

57
(ii)

61
(iii)

60
(iv)

62
(v)

59

Question 21

21.

The ratio of males to females in a committee of 143 members is 6 : 7. How many more ladies should be added to the committee so that the ratio of males to females is 66 : 125?

(i)

49
(ii)

48
(iii)

47
(iv)

45
(v)

51

Question 22

22.

A motor boat can move at a speed of 17.65 m/sec in still water. If it goes upstream for 837.44 sec, it travels a distance of 3266.00 m. What is the speed of the stream?

(i)

13.75 m/sec
(ii)

15.75 m/sec
(iii)

14.75 m/sec
(iv)

11.75 m/sec
(v)

12.75 m/sec

Question 23

23.

A motor boat can move at a speed of 13.48 m/sec in still water. If it goes downstream for 161.05 sec, it travels a distance of 4073.00 m. What is the speed of the stream?

(i)

12.81 m/sec
(ii)

11.81 m/sec
(iii)

9.81 m/sec
(iv)

10.81 m/sec
(v)

13.81 m/sec

Assignment Key