EduSahara™ Assignment
Name : Word Problems on Linear Equations
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
The speed of a motor boat is 12.87 m/sec and the speed of a stream is 4.63 m/sec. A & B are two location adjacent to a stream. If it takes 592.99 sec to go from point A to B and come back, What is the distance between A and B?
  • (i)
    3322.03 m
  • (ii)
    3321.03 m
  • (iii)
    3324.03 m
  • (iv)
    3320.03 m
  • (v)
    3323.03 m
Question 2
2.
A student walks from his house to school at 4.14 kmph and arrives 3.40 min late. The next day he walks at 7.23 kmph and reaches the school 14.10 min before time. What is the distance from his house to school?
  • (i)
    3.83 km
  • (ii)
    0.83 km
  • (iii)
    1.83 km
  • (iv)
    2.83 km
  • (v)
    4.83 km
Question 3
3.
A student walks from his house to school at 2.85 kmph and arrives 7.10 min late. The next day he walks at 9.35 kmph and reaches the school 34.10 min before time. At what speed must he travel to reach the school on time?
  • (i)
    1.24 kmph
  • (ii)
    5.24 kmph
  • (iii)
    4.24 kmph
  • (iv)
    2.24 kmph
  • (v)
    3.24 kmph
Question 4
4.
A train crosses a telegraph post in 11.22 sec and a bridge 628.42 m long in 32.07 sec. What is the length of the train?
  • (i)
    337.17 m
  • (ii)
    339.17 m
  • (iii)
    336.17 m
  • (iv)
    340.17 m
  • (v)
    338.17 m
Question 5
5.
A train crosses a telegraph post in 17.17 sec and a bridge 1777.86 m long in 60.28 sec. What is the speed of the train?
  • (i)
    42.24 m/sec
  • (ii)
    40.24 m/sec
  • (iii)
    43.24 m/sec
  • (iv)
    41.24 m/sec
  • (v)
    39.24 m/sec
Question 6
6.
    • A can do a work in
    • 9
      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)
    7
    days
  • (ii)
    5
    days
  • (iii)
    10
    days
  • (iv)
    8
    days
  • (v)
    6
    days
Question 7
7.
    • Due to a leak at the bottom, pipe Y takes
    • 6
      2

      3
      hr
    • to fill the tank.
    • The leak alone can empty the full tank in
    • 20
      hr
    • .
    • In what time can pipe Y alone fill the tank when the leak is closed?
  • (i)
    3
    hr
  • (ii)
    8
    hr
  • (iii)
    5
    hr
  • (iv)
    4
    hr
  • (v)
    6
    hr
Question 8
8.
    • A and B together can do a piece of work in
    • 5
      23

      24
      days
    • .
    • They work together for
    • 2
      days
    • and then A leaves.
    • B completes the remaining work in
    • 7
      4

      13
      days
    • .
    • In how much time can each of them do the work seperately?
  • (i)
    (
    12
    days
    ,
    11
    days
    )
  • (ii)
    (
    14
    days
    ,
    11
    days
    )
  • (iii)
    (
    13
    days
    ,
    11
    days
    )
  • (iv)
    (
    13
    days
    ,
    12
    days
    )
  • (v)
    (
    13
    days
    ,
    10
    days
    )
Question 9
9.
    • A can do
    • 5

      8
    • of a work in
    • 5
      5

      8
      hr
    • .
    • He works for
    • 2
      hr
    • when B joins him.
    • They work together and complete the work in
    • 2
      1

      2
      hr
    • .
    • In how much time, B alone can do the work?
  • (i)
    5
    hr
  • (ii)
    4
    hr
  • (iii)
    3
    hr
  • (iv)
    6
    hr
  • (v)
    7
    hr
Question 10
10.
    • Find the fourth proportional of
    • 18
    • ,
    • 3
    • and
    • 30
  • (i)
    8
  • (ii)
    3
  • (iii)
    5
  • (iv)
    30
  • (v)
    2
Question 11
11.
The work done by (17x + 1) men in (2x) days and work done by (7x) men in (8x) days is in the ratio of 5 : 8 . Find the value of x
  • (i)
    4
  • (ii)
    0
  • (iii)
    1
  • (iv)
    2
  • (v)
    3
Question 12
12.
    • In an examination, the ratio of passes to failures was 8 : 7.
    • Had 150 less appeared and 10 less passed, the ratio of passes to failures would have been 31 : 14.
    • How many students appeared for the examination?
  • (i)
    605
  • (ii)
    595
  • (iii)
    600
  • (iv)
    610
  • (v)
    590
Question 13
13.
In a company, the number of engineers to managers is in the ratio 3 : 1 . After a year, when 10 engineers and 15 managers left, the ratio between engineers to managers is 22 : 5 . Find the number of engineers and managers at the beginning?
  • (i)
    150
  • (ii)
    140
  • (iii)
    160
  • (iv)
    180
  • (v)
    170
Question 14
14.
    • What number must be added to each term of the ratio
    • 28
      :
      182
    • to make it
    • 16
      :
      27
    • ?
  • (i)
    197
  • (ii)
    199
  • (iii)
    194
  • (iv)
    195
  • (v)
    196
Question 15
15.
Two numbers are in the ratio 1 : 7. If 10 is added to each number, the ratio becomes 17 : 59. Find the numbers.
  • (i)
    6
    :
    42
  • (ii)
    5
    :
    35
  • (iii)
    8
    :
    56
  • (iv)
    7
    :
    49
  • (v)
    9
    :
    63
Question 16
16.
The ratio of two numbers is
4
:
2
and their LCM is 40. Find the numbers.
  • (i)
    36
    :
    18
  • (ii)
    44
    :
    22
  • (iii)
    48
    :
    24
  • (iv)
    32
    :
    16
  • (v)
    40
    :
    20
Question 17
17.
    • Find the number which bears the same ratio
    • to
    • 1

      4
    • that
    • 1

      8
    • does to
    • 1

      30
  • (i)
    13

    16
  • (ii)
    17

    16
  • (iii)
    15

    16
  • (iv)
    15

    14
  • (v)
    5

    6
Question 18
18.
The ages of A and B are in the ratio 5 : 7. 10 years hence, their ages will be in the ratio 3 : 4. Find their present ages.
  • (i)
    40
    :
    56
  • (ii)
    50
    :
    70
  • (iii)
    45
    :
    63
  • (iv)
    60
    :
    84
Question 19
19.
The ages of A and B are in the ratio 6 : 5. 10 years ago, their ages were in the ratio 5 : 4. Find their present ages.
  • (i)
    54
    :
    45
  • (ii)
    72
    :
    60
  • (iii)
    48
    :
    40
  • (iv)
    60
    :
    50
Question 20
20.
    • In a mixture of
    • 260
    • litres,
    • the ratio of milk and water is
    • 17 : 9
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 85 : 63
    • ?
  • (i)
    33
  • (ii)
    38
  • (iii)
    36
  • (iv)
    37
  • (v)
    35
Question 21
21.
The ratio of males to females in a committee of 195 members is 8 : 5. How many more ladies should be added to the committee so that the ratio of males to females is 120 : 131?
  • (i)
    57
  • (ii)
    54
  • (iii)
    58
  • (iv)
    55
  • (v)
    56
Question 22
22.
A motor boat can move at a speed of 18.36 m/sec in still water. If it goes upstream for 370.12 sec, it travels a distance of 3431.00 m. What is the speed of the stream?
  • (i)
    8.09 m/sec
  • (ii)
    11.09 m/sec
  • (iii)
    7.09 m/sec
  • (iv)
    10.09 m/sec
  • (v)
    9.09 m/sec
Question 23
23.
A motor boat can move at a speed of 4.96 m/sec in still water. If it goes downstream for 344.56 sec, it travels a distance of 3263.00 m. What is the speed of the stream?
  • (i)
    3.51 m/sec
  • (ii)
    6.51 m/sec
  • (iii)
    4.51 m/sec
  • (iv)
    5.51 m/sec
  • (v)
    2.51 m/sec
    Assignment Key

  •  1) (i)
  •  2) (iv)
  •  3) (v)
  •  4) (v)
  •  5) (iv)
  •  6) (i)
  •  7) (iii)
  •  8) (iii)
  •  9) (i)
  •  10) (iii)
  •  11) (iv)
  •  12) (iii)
  •  13) (iii)
  •  14) (v)
  •  15) (iv)
  •  16) (v)
  •  17) (iii)
  •  18) (ii)
  •  19) (iv)
  •  20) (iii)
  •  21) (v)
  •  22) (v)
  •  23) (iii)