ICSE Board Practice

ICSE Grade VII - Time and Work
Question 1
1.
    • A can do a work in
    • 3
      days
    • and B can do the same work in
    • 8
      days
    • .
    • If they work together, in how much time is the work completed?
  • 2
    2

    13
    days
  • 2
    4

    11
    days
  • 2
    days
  • 2
    2

    11
    days
  • 2
    2

    9
    days
Question 2
2.
    • A can do a piece of work in
    • 15
      days
    • ,
    • B can do the work in
    • 7
      days
    • and C in
    • 14
      days
    • respectively.
    • In how much time can they do it together?
  • 3
    35

    59
    days
  • 3
    33

    59
    days
  • 3
    33

    61
    days
  • 3
    31

    59
    days
  • 3
    11

    19
    days
Question 3
3.
    • A sum of
    • ₹1414.00
    • will be given to do a work.
    • A and B can do it in
    • 4
      17

      22
      hr
    • .
    • B and C can do in
    • 5
      5

      8
      hr
    • .
    • C and A can do in
    • 3
      15

      16
      hr
    • .
    • How much A, B and C respectively will get if all three work together?
  • (
    ₹490
    ,
    ₹294
    ,
    ₹630
    )
  • (
    ₹294
    ,
    ₹490
    ,
    ₹630
    )
  • (
    ₹490
    ,
    ₹630
    ,
    ₹294
    )
  • (
    ₹630
    ,
    ₹490
    ,
    ₹294
    )
  • (
    ₹630
    ,
    ₹294
    ,
    ₹490
    )
Question 4
4.
    • P and Q can do together a piece of work in
    • 2
      8

      11
      days
    • .
    • After they have worked together for
    • 1
      day
    • ,
    • P stops.
    • Q completes the remaining work in
    • 3
      4

      5
      days
    • .
    • In how many days can Q alone do the work?
  • 4
    days
  • 8
    days
  • 5
    days
  • 7
    days
  • 6
    days
Question 5
5.
    • A can do
    • 3

      8
    • of a work in
    • 4
      1

      8
      hr
    • .
    • He works for
    • 5
      hr
    • when B joins him.
    • They work together and complete the work in
    • 3
      9

      25
      hr
    • .
    • In how much time, B alone can do the work?
  • 16
    hr
  • 15
    hr
  • 14
    hr
  • 13
    hr
  • 12
    hr
Question 6
6.
    • A certain number of men can do a work in
    • 36
      days
    • .
    • If there were
    • 6
    • men
    • more
    • ,
    • it would take
    • 9
      days
    • less
    • to complete the work.
    • How many men are required to complete the work in
    • 12
      days
    • ?
  • 52
  • 54
  • 53
  • 55
  • 57
Question 7
7.
    • A and B can do a work in
    • 4
      20

      21
      days
    • ,
    • B and C can do it in
    • 4
      12

      19
      days
    • and C and A can do it in
    • 5
      23

      24
      days
    • .
    • In how much time can
    • each of them do it seperately?
  • (
    14
    days
    ,
    9
    days
    ,
    11
    days
    )
  • (
    13
    days
    ,
    8
    days
    ,
    12
    days
    )
  • (
    14
    days
    ,
    8
    days
    ,
    11
    days
    )
  • (
    13
    days
    ,
    9
    days
    ,
    11
    days
    )
  • (
    13
    days
    ,
    8
    days
    ,
    11
    days
    )
Question 8
8.
    • Due to a leak at the bottom, pipe Y takes
    • 10
      1

      2
      hr
    • to fill the tank.
    • The leak alone can empty the full tank in
    • 21
      hr
    • .
    • In what time can pipe Y alone fill the tank when the leak is closed?
  • 5
    hr
  • 8
    hr
  • 6
    hr
  • 7
    hr
  • 9
    hr
Question 9
9.
    • Pipe A can fill a tank in
    • 9
      hr
    • and pipe B can empty the full tank in
    • 54
      hr
    • .
    • If both the pipes are opened together,
    • in how much time will the tank become full?
  • 10
    4

    5
    hr
  • 10
    4

    7
    hr
  • 11
    1

    5
    hr
  • 10
    2

    5
    hr
  • 11
    1

    3
    hr
Question 10
10.
    • A and B can do a work in
    • 3
      9

      17
      hr
    • ,
    • B and C can do it in
    • 2
      11

      12
      hr
    • and C and A can do it in
    • 4
      8

      19
      hr
    • .
    • In how much time can
    • each of them do it seperately?
  • (
    12
    hr
    ,
    5
    hr
    ,
    7
    hr
    )
  • (
    13
    hr
    ,
    6
    hr
    ,
    7
    hr
    )
  • (
    12
    hr
    ,
    6
    hr
    ,
    7
    hr
    )
  • (
    12
    hr
    ,
    5
    hr
    ,
    8
    hr
    )
  • (
    13
    hr
    ,
    5
    hr
    ,
    7
    hr
    )