EduSahara™ Worksheet

Question 1

1.

The speed of a motor boat is 12.90 m/sec and the speed of a stream is 4.62 m/sec. A & B are two location adjacent to a stream. If it takes 756.05 sec to go from point A to B and come back, What is the distance between A and B?

(i)

4249.04 m
(ii)

4252.04 m
(iii)

4253.04 m
(iv)

4251.04 m
(v)

4250.04 m

Question 2

2.

A student walks from his house to school at 6.51 kmph and arrives 18.60 min late. The next day he walks at 20.89 kmph and reaches the school 10.80 min before time. What is the distance from his house to school?

(i)

5.63 km
(ii)

3.63 km
(iii)

2.63 km
(iv)

6.63 km
(v)

4.63 km

Question 3

3.

A student walks from his house to school at 8.15 kmph and arrives 4.30 min late. The next day he walks at 22.99 kmph and reaches the school 14.10 min before time. At what speed must he travel to reach the school on time?

(i)

10.60 kmph
(ii)

11.60 kmph
(iii)

8.60 kmph
(iv)

7.60 kmph
(v)

9.60 kmph

Question 4

4.

A train crosses a telegraph post in 35.93 sec and a bridge 872.73 m long in 78.69 sec. What is the length of the train?

(i)

732.33 m
(ii)

733.33 m
(iii)

731.33 m
(iv)

734.33 m
(v)

735.33 m

Question 5

5.

A train crosses a telegraph post in 30.57 sec and a bridge 624.75 m long in 47.51 sec. What is the speed of the train?

(i)

36.88 m/sec
(ii)

35.88 m/sec
(iii)

34.88 m/sec
(iv)

37.88 m/sec
(v)

38.88 m/sec

Question 6

6.

A can do a work in
6

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

3

3
7

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

(i)

11

days
(ii)

8

days
(iii)

9

days
(iv)

5

days
(v)

7

days

Question 7

7.

Due to a leak at the bottom, pipe Y takes
9

1
3

hr
to fill the tank.

The leak alone can empty the full tank in
56

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)

6

hr
(v)

8

hr

Question 8

8.

A and B together can do a piece of work in
4

20
21

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
10

3
8

days
.

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

(i)

(

8

days

,

13

days

)
(ii)

(

7

days

,

13

days

)
(iii)

(

8

days

,

14

days

)
(iv)

(

9

days

,

13

days

)
(v)

(

8

days

,

12

days

)

Question 9

9.

A can do
4
10
of a work in
2

4
5

hr
.

He works for
3

hr
when B joins him.

They work together and complete the work in
2

8
11

hr
.

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

(i)

12

hr
(ii)

17

hr
(iii)

16

hr
(iv)

14

hr
(v)

15

hr

Question 10

10.

(i)

5
(ii)

4
(iii)

6
(iv)

2
(v)

24

Question 11

11.

The work done by (7x) men in (5x) days and work done by (x + 1) men in (21x) days is in the ratio of 10 : 9 . Find the value of x

(i)

0
(ii)

1
(iii)

3
(iv)

2
(v)

5

Question 12

12.

In an examination, the ratio of passes to failures was 9 : 2.
Had 25 less appeared and 10 less passed, the ratio of passes to failures would have been 52 : 9.
How many students appeared for the examination?

(i)

330
(ii)

325
(iii)

335
(iv)

340
(v)

320

Question 13

13.

In a company, the number of engineers to managers is in the ratio 9 : 8 . After a year, when 10 engineers and 20 managers left, the ratio between engineers to managers is 17 : 14 . Find the number of engineers and managers at the beginning?

(i)

330
(ii)

350
(iii)

320
(iv)

360
(v)

340

Question 14

14.

What number must be added to each term of the ratio
30

:

140
to make it
19

:

30
?

(i)

159
(ii)

158
(iii)

161
(iv)

160
(v)

162

Question 15

15.

Two numbers are in the ratio 3 : 10. If 10 is added to each number, the ratio becomes 2 : 5. Find the numbers.

(i)

21

:

70
(ii)

12

:

40
(iii)

18

:

60
(iv)

24

:

80
(v)

15

:

50

Question 16

16.

The ratio of two numbers is

2

:

1

and their LCM is 16. Find the numbers.

(i)

20

:

10
(ii)

18

:

9
(iii)

16

:

8
(iv)

12

:

6
(v)

14

:

7

Question 17

17.

Find the number which bears the same ratio
to
2
3
that
1
2
does to
2
3

(i)

1
2
(ii)

1
3
(iii)

0
(iv)

1

Question 18

18.

The ages of A and B are in the ratio 2 : 1. 8 years hence, their ages will be in the ratio 11 : 6. Find their present ages.

(i)

80

:

40
(ii)

76

:

38
(iii)

78

:

39
(iv)

84

:

42

Question 19

19.

The ages of A and B are in the ratio 1 : 2. 7 years ago, their ages were in the ratio 4 : 9. Find their present ages.

(i)

37

:

74
(ii)

33

:

66
(iii)

35

:

70
(iv)

34

:

68

Question 20

20.

(i)

49
(ii)

47
(iii)

51
(iv)

50
(v)

52

Question 21

21.

The ratio of males to females in a committee of 629 members is 17 : 20. How many more ladies should be added to the committee so that the ratio of males to females is 289 : 412?

(i)

71
(ii)

69
(iii)

74
(iv)

72
(v)

73

Question 22

22.

A motor boat can move at a speed of 12.86 m/sec in still water. If it goes upstream for 3430.58 sec, it travels a distance of 4151.00 m. What is the speed of the stream?

(i)

11.65 m/sec
(ii)

12.65 m/sec
(iii)

10.65 m/sec
(iv)

9.65 m/sec
(v)

13.65 m/sec

Question 23

23.

A motor boat can move at a speed of 8.28 m/sec in still water. If it goes downstream for 377.89 sec, it travels a distance of 4905.00 m. What is the speed of the stream?

(i)

2.70 m/sec
(ii)

6.70 m/sec
(iii)

4.70 m/sec
(iv)

5.70 m/sec
(v)

3.70 m/sec

Assignment Key