EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Time and Work
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • A and B can do a piece of work in
    • 15
      days
    • and
    • 10
      days
    • respectively.
    • They work together for
    • 4
      days
    • and then B leaves.
    • In how many days the whole work is completed?
  • (i)
    9
    days
  • (ii)
    11
    days
  • (iii)
    8
    days
  • (iv)
    10
    days
  • (v)
    7
    days
Question 2
2.
    • A and B can do a work in
    • 4
      17

      22
      days
    • ,
    • B and C can do it in
    • 6
      9

      26
      days
    • and C and A can do it in
    • 4
      5

      18
      days
    • .
    • In how much time can
    • each of them do it seperately?
  • (i)
    (
    7
    days
    ,
    15
    days
    ,
    11
    days
    )
  • (ii)
    (
    8
    days
    ,
    15
    days
    ,
    11
    days
    )
  • (iii)
    (
    7
    days
    ,
    15
    days
    ,
    12
    days
    )
  • (iv)
    (
    7
    days
    ,
    16
    days
    ,
    11
    days
    )
  • (v)
    (
    8
    days
    ,
    16
    days
    ,
    11
    days
    )
Question 3
3.
    • A can do a work in
    • 5
      days
    • and B can do the same work in
    • 2
      days
    • .
    • If they work together, in how much time is the work completed?
  • (i)
    1
    3

    7
    days
  • (ii)
    1
    5

    7
    days
  • (iii)
    1
    1

    3
    days
  • (iv)
    1
    3

    5
    days
  • (v)
    1
    1

    7
    days
Question 4
4.
    • A and B can do a work in
    • 8
      days
    • , B and C can do in
    • 5
      days
    • and C and A can do in
    • 6
      days
    • .
    • If all three work together,
    • in how many days will the work be completed?
  • (i)
    4
    6

    59
    days
  • (ii)
    4
    4

    59
    days
  • (iii)
    4
    4

    57
    days
  • (iv)
    4
    4

    61
    days
  • (v)
    4
    2

    59
    days
Question 5
5.
    • A and B together can do a piece of work in
    • 3
      11

      18
      hr
    • .
    • They work together for
    • 1
      hr
    • and then A leaves.
    • B completes the remaining work in
    • 3
      8

      13
      hr
    • .
    • In how much time can each of them do the work seperately?
  • (i)
    (
    12
    hr
    ,
    5
    hr
    )
  • (ii)
    (
    13
    hr
    ,
    6
    hr
    )
  • (iii)
    (
    14
    hr
    ,
    5
    hr
    )
  • (iv)
    (
    13
    hr
    ,
    4
    hr
    )
  • (v)
    (
    13
    hr
    ,
    5
    hr
    )
Question 6
6.
    • A sum of
    • ₹255.00
    • will be given to do a work.
    • A and B can do it in
    • 3
      1

      13
      hr
    • .
    • B and C can do in
    • 4
      4

      9
      hr
    • .
    • C and A can do in
    • 3
      1

      3
      hr
    • .
    • How much A, B and C respectively will get if all three work together?
  • (i)
    (
    ₹60
    ,
    ₹120
    ,
    ₹75
    )
  • (ii)
    (
    ₹75
    ,
    ₹60
    ,
    ₹120
    )
  • (iii)
    (
    ₹60
    ,
    ₹75
    ,
    ₹120
    )
  • (iv)
    (
    ₹120
    ,
    ₹75
    ,
    ₹60
    )
  • (v)
    (
    ₹120
    ,
    ₹60
    ,
    ₹75
    )
Question 7
7.
    • A and B together can do a piece of work in
    • 4
      17

      22
      days
    • .
    • They work together for
    • 1
      day
    • and then A leaves.
    • B completes the remaining work in
    • 11
      6

      7
      days
    • .
    • In how much time can each of them do the work seperately?
  • (i)
    (
    7
    days
    ,
    16
    days
    )
  • (ii)
    (
    8
    days
    ,
    15
    days
    )
  • (iii)
    (
    7
    days
    ,
    15
    days
    )
  • (iv)
    (
    7
    days
    ,
    14
    days
    )
  • (v)
    (
    6
    days
    ,
    15
    days
    )
Question 8
8.
    • Due to a leak at the bottom, pipe Y takes
    • 10
      2

      3
      hr
    • to fill the tank.
    • The leak alone can empty the full tank in
    • 32
      hr
    • .
    • In what time can pipe Y alone fill the tank when the leak is closed?
  • (i)
    10
    hr
  • (ii)
    6
    hr
  • (iii)
    8
    hr
  • (iv)
    7
    hr
  • (v)
    9
    hr
Question 9
9.
    • A, B, C, D, and E can do a piece of work in
    • 8
      days
    • ,
    • 12
      days
    • ,
    • 15
      days
    • ,
    • 9
      days
    • and
    • 10
      days
    • respectively.
    • Who has the greatest capacity to do work?
  • (i)
    E
  • (ii)
    A
  • (iii)
    D
  • (iv)
    B
  • (v)
    C
Question 10
10.
    • 5
    • skilled men can do a work in
    • 3
      days
    • .
    • 6
    • unskilled men can do the same work in
    • 9
      days
    • .
    • In how many days can
    • 4
    • skilled and
    • 9
    • unskilled men do the same work?
  • (i)
    2
    4

    13
    days
  • (ii)
    2
    4

    15
    days
  • (iii)
    2
    2

    13
    days
  • (iv)
    2
    4

    11
    days
  • (v)
    2
    6

    13
    days
Question 11
11.
    • A and B can do a work in
    • 3
      13

      19
      hr
    • ,
    • B and C can do it in
    • 6
      4

      25
      hr
    • and C and A can do it in
    • 3
      7

      16
      hr
    • .
    • In how much time can
    • each of them do it seperately?
  • (i)
    (
    5
    hr
    ,
    14
    hr
    ,
    12
    hr
    )
  • (ii)
    (
    6
    hr
    ,
    15
    hr
    ,
    11
    hr
    )
  • (iii)
    (
    5
    hr
    ,
    15
    hr
    ,
    11
    hr
    )
  • (iv)
    (
    5
    hr
    ,
    14
    hr
    ,
    11
    hr
    )
  • (v)
    (
    6
    hr
    ,
    14
    hr
    ,
    11
    hr
    )
Question 12
12.
    • A can do a work in
    • 8
      days
    • .
    • With the help of B, A can do the same work in
    • 3
      1

      13
      days
    • .
    • In how many days can B alone do the work?
  • (i)
    3
    days
  • (ii)
    5
    days
  • (iii)
    7
    days
  • (iv)
    6
    days
  • (v)
    4
    days
Question 13
13.
    • A can do a piece of work in
    • 7
      days
    • ,
    • B can do the work in
    • 13
      days
    • and C in
    • 7
      days
    • respectively.
    • In how much time can they do it together?
  • (i)
    2
    25

    33
    days
  • (ii)
    2
    9

    11
    days
  • (iii)
    2
    25

    31
    days
  • (iv)
    2
    5

    7
    days
  • (v)
    2
    23

    33
    days
Question 14
14.
    • A can do
    • 1

      5
    • of a work in
    • 1
      3

      5
      hr
    • .
    • He works for
    • 4
      hr
    • when B joins him.
    • They work together and complete the work in
    • 1
      5

      7
      hr
    • .
    • In how much time, B alone can do the work?
  • (i)
    4
    hr
  • (ii)
    7
    hr
  • (iii)
    5
    hr
  • (iv)
    8
    hr
  • (v)
    6
    hr
Question 15
15.
    • A, B and C together can do a work in
    • 30

      31
      days
    • .
    • If A and C can do the work in
    • 5
      days
    • and
    • 3
      days
    • respectively,
    • in how many days can B alone do the work?
  • (i)
    2
    days
  • (ii)
    4
    days
  • (iii)
    1
    day
  • (iv)
    -1
    days
  • (v)
    3
    days
Question 16
16.
    • A sum of
    • ₹1038.00
    • will be given to do a work.
    • A and B can do it in
    • 4
      2

      19
      days
    • .
    • B and C can do in
    • 2
      8

      11
      days
    • .
    • C and A can do in
    • 3
      11

      18
      days
    • .
    • How much A, B and C respectively will get if all three work together?
  • (i)
    (
    ₹390
    ,
    ₹468
    ,
    ₹180
    )
  • (ii)
    (
    ₹180
    ,
    ₹390
    ,
    ₹468
    )
  • (iii)
    (
    ₹180
    ,
    ₹468
    ,
    ₹390
    )
  • (iv)
    (
    ₹468
    ,
    ₹180
    ,
    ₹390
    )
  • (v)
    (
    ₹468
    ,
    ₹390
    ,
    ₹180
    )
Question 17
17.
    • 3
    • men take
    • 6
      days
    • to complete a work.
    • How much work is done by one man in one day?
  • (i)
    1

    3
  • (ii)
    (
    -1

    18
    )
  • (iii)
    1

    6
  • (iv)
    1

    18
Question 18
18.
    • A and B can do a work in
    • 6
      days
    • and
    • 9
      days
    • respectively.
    • They together undertook to do a piece of work for
    • ₹6000.00
    • .
    • What is the share of B?
  • (i)
    ₹2400.00
  • (ii)
    ₹3600.00
  • (iii)
    ₹2401.00
  • (iv)
    ₹2399.00
  • (v)
    ₹3598.00
Question 19
19.
    • P and Q can do together a piece of work in
    • 3
      3

      5
      days
    • .
    • After they have worked together for
    • 2
      days
    • ,
    • P stops.
    • Q completes the remaining work in
    • 2
      2

      3
      days
    • .
    • In how many days can Q alone do the work?
  • (i)
    7
    days
  • (ii)
    8
    days
  • (iii)
    5
    days
  • (iv)
    4
    days
  • (v)
    6
    days
Question 20
20.
    • A can do a piece of work in
    • 6
      hr
    • ,
    • B can do the work in
    • 9
      hr
    • and C in
    • 6
      hr
    • respectively.
    • In how much time can they do it together?
  • (i)
    2
    1

    2
    hr
  • (ii)
    2
    3

    4
    hr
  • (iii)
    1
    3

    4
    hr
  • (iv)
    2
    1

    4
    hr
  • (v)
    2
    1

    6
    hr
Question 21
21.
    • Pipe A can fill a tank in
    • 7
      hr
    • and pipe B can empty the full tank in
    • 42
      hr
    • .
    • If both the pipes are opened together,
    • in how much time will the tank become full?
  • (i)
    8
    4

    5
    hr
  • (ii)
    8
    2

    5
    hr
  • (iii)
    8
    2

    3
    hr
  • (iv)
    8
    2

    7
    hr
  • (v)
    8
    hr
Question 22
22.
    • A certain number of men can do a work in
    • 45
      days
    • .
    • If there were
    • 7
    • men
    • more
    • ,
    • it would take
    • 9
      days
    • less
    • to complete the work.
    • How many men are required to complete the work in
    • 20
      days
    • ?
  • (i)
    63
  • (ii)
    62
  • (iii)
    66
  • (iv)
    64
  • (v)
    60
Question 23
23.
    • Two pipes can fill a tank in
    • 6
      min
    • and
    • 12
      min
    • respectively.
    • Both pipes are
    • opened together and after some time the first pipe is closed and the tank
    • becomes full in
    • 10
      min
    • from the time when both pipes are opened.
    • For how much time was first pipe open?
  • (i)
    1
    min
  • (ii)
    2
    min
  • (iii)
    3
    min
  • (iv)
    -2
    min
  • (v)
    0
    min
Question 24
24.
    • A, B, C, D, and E can do a piece of work in
    • 5
      hr
    • ,
    • 13
      hr
    • ,
    • 12
      hr
    • ,
    • 7
      hr
    • and
    • 10
      hr
    • respectively.
    • Who has the greatest capacity to do work?
  • (i)
    A
  • (ii)
    C
  • (iii)
    E
  • (iv)
    B
  • (v)
    D
Question 25
25.
    • 16
    • men can do a work in
    • 7
    • days working
    • 10
    • hours a day.
    • In how many days can
    • 13
    • men do the same work, working
    • 4
    • hours a day?
  • (i)
    21
    5

    13
    days
  • (ii)
    21
    7

    11
    days
  • (iii)
    21
    7

    13
    days
  • (iv)
    21
    9

    13
    days
  • (v)
    21
    7

    15
    days
    Assignment Key

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