EduSahara™ Worksheet

Question 1

1.

The speed of a motor boat is 22.73 m/sec and the speed of a stream is 4.32 m/sec. A & B are two location adjacent to a stream. If it takes 116.11 sec to go from point A to B and come back, What is the distance between A and B?

(i)

1273.92 m
(ii)

1271.92 m
(iii)

1272.92 m
(iv)

1270.92 m
(v)

1269.92 m

Question 2

2.

A student walks from his house to school at 6.86 kmph and arrives 5.50 min late. The next day he walks at 22.50 kmph and reaches the school 23.70 min before time. What is the distance from his house to school?

(i)

2.80 km
(ii)

4.80 km
(iii)

3.80 km
(iv)

6.80 km
(v)

5.80 km

Question 3

3.

A student walks from his house to school at 2.45 kmph and arrives 24.20 min late. The next day he walks at 10.29 kmph and reaches the school 15.20 min before time. At what speed must he travel to reach the school on time?

(i)

2.60 kmph
(ii)

3.60 kmph
(iii)

5.60 kmph
(iv)

4.60 kmph
(v)

6.60 kmph

Question 4

4.

A train crosses a telegraph post in 24.45 sec and a bridge 746.09 m long in 40.88 sec. What is the length of the train?

(i)

1112.27 m
(ii)

1110.27 m
(iii)

1111.27 m
(iv)

1108.27 m
(v)

1109.27 m

Question 5

5.

A train crosses a telegraph post in 24.11 sec and a bridge 1624.89 m long in 58.47 sec. What is the speed of the train?

(i)

45.29 m/sec
(ii)

47.29 m/sec
(iii)

49.29 m/sec
(iv)

46.29 m/sec
(v)

48.29 m/sec

Question 6

6.

A can do a work in
5

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

2

11
12

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

(i)

7

days
(ii)

9

days
(iii)

5

days
(iv)

6

days
(v)

8

days

Question 7

7.

Due to a leak at the bottom, pipe Y takes
2

2
3

hr
to fill the tank.

The leak alone can empty the full tank in
8

hr
.

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

(i)

1

hr
(ii)

3

hr
(iii)

2

hr
(iv)

0

hr
(v)

4

hr

Question 8

8.

A and B together can do a piece of work in
3

7
16

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
3

6
11

days
.

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

(i)

(

11

days

,

6

days

)
(ii)

(

12

days

,

5

days

)
(iii)

(

11

days

,

5

days

)
(iv)

(

10

days

,

5

days

)
(v)

(

11

days

,

4

days

)

Question 9

9.

A can do
5
7
of a work in
5

hr
.

He works for
3

hr
when B joins him.

They work together and complete the work in
2

3
5

hr
.

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

(i)

14

hr
(ii)

10

hr
(iii)

12

hr
(iv)

13

hr
(v)

15

hr

Question 10

10.

(i)

36
(ii)

7
(iii)

9
(iv)

11

Question 11

11.

The work done by (8x + 1) men in (x + 2) days and work done by (2x) men in (4x + 2) days is in the ratio of 125 : 84 . Find the value of x

(i)

0
(ii)

5
(iii)

3
(iv)

4
(v)

2

Question 12

12.

In an examination, the ratio of passes to failures was 3 : 2.
Had 50 less appeared and 20 less passed, the ratio of passes to failures would have been 13 : 7.
How many students appeared for the examination?

(i)

240
(ii)

245
(iii)

255
(iv)

260
(v)

250

Question 13

13.

In a company, the number of engineers to managers is in the ratio 3 : 2 . After a year, when 20 engineers and 10 managers left, the ratio between engineers to managers is 10 : 7 . Find the number of engineers and managers at the beginning?

(i)

190
(ii)

180
(iii)

210
(iv)

220
(v)

200

Question 14

14.

What number must be added to each term of the ratio
36

:

126
to make it
19

:

24
?

(i)

308
(ii)

306
(iii)

303
(iv)

305
(v)

307

Question 15

15.

Two numbers are in the ratio 4 : 5. If 20 is added to each number, the ratio becomes 16 : 19. Find the numbers.

(i)

68

:

85
(ii)

52

:

65
(iii)

60

:

75
(iv)

64

:

80
(v)

56

:

70

Question 16

16.

The ratio of two numbers is

5

:

2

and their LCM is 140. Find the numbers.

(i)

65

:

26
(ii)

70

:

28
(iii)

80

:

32
(iv)

75

:

30
(v)

60

:

24

Question 17

17.

Find the number which bears the same ratio
to
2
3
that
2
4
does to
17
21

(i)

9
17
(ii)

7
17
(iii)

7
19
(iv)

7
15
(v)

5
17

Question 18

18.

The ages of A and B are in the ratio 7 : 9. 8 years hence, their ages will be in the ratio 4 : 5. Find their present ages.

(i)

70

:

90
(ii)

42

:

54
(iii)

56

:

72
(iv)

49

:

63

Question 19

19.

The ages of A and B are in the ratio 9 : 7. 8 years ago, their ages were in the ratio 4 : 3. Find their present ages.

(i)

54

:

42
(ii)

90

:

70
(iii)

72

:

56
(iv)

63

:

49

Question 20

20.

(i)

60
(ii)

61
(iii)

59
(iv)

58
(v)

62

Question 21

21.

The ratio of males to females in a committee of 44 members is 1 : 3. How many more ladies should be added to the committee so that the ratio of males to females is 11 : 105?

(i)

71
(ii)

73
(iii)

70
(iv)

75
(v)

72

Question 22

22.

A motor boat can move at a speed of 23.26 m/sec in still water. If it goes upstream for 235.99 sec, it travels a distance of 3134.00 m. What is the speed of the stream?

(i)

10.98 m/sec
(ii)

9.98 m/sec
(iii)

7.98 m/sec
(iv)

11.98 m/sec
(v)

8.98 m/sec

Question 23

23.

A motor boat can move at a speed of 10.37 m/sec in still water. If it goes downstream for 90.58 sec, it travels a distance of 1318.00 m. What is the speed of the stream?

(i)

2.18 m/sec
(ii)

5.18 m/sec
(iii)

4.18 m/sec
(iv)

3.18 m/sec
(v)

6.18 m/sec

Assignment Key