ICSE Board Practice

ICSE Grade VII - Time and Work
Question 1
1.
    • Due to a leak at the bottom, pipe Y takes
    • 8
      1

      6
      hr
    • to fill the tank.
    • The leak alone can empty the full tank in
    • 49
      hr
    • .
    • In what time can pipe Y alone fill the tank when the leak is closed?
  • 10
    hr
  • 8
    hr
  • 6
    hr
  • 7
    hr
  • 4
    hr
Question 2
2.
    • 2
    • men take
    • 3
      days
    • to complete a work.
    • How much work is done by one man in one day?
  • 1

    3
  • (
    -1

    6
    )
  • 1

    2
  • 1

    6
Question 3
3.
    • A can do a piece of work in
    • 14
      days
    • ,
    • B can do the work in
    • 8
      days
    • and C in
    • 8
      days
    • respectively.
    • In how much time can they do it together?
  • 2
    8

    9
    days
  • 3
    1

    7
    days
  • 3
    1

    11
    days
  • 3
    1

    3
    days
  • 3
    1

    9
    days
Question 4
4.
    • A, B and C together can do a work in
    • 5

      6
      days
    • .
    • If A and C can do the work in
    • 2
      days
    • and
    • 5
      days
    • respectively,
    • in how many days can B alone do the work?
  • 1
    day
  • 4
    days
  • 3
    days
  • 0
    days
  • 2
    days
Question 5
5.
    • A, B, C, D, and E can do a piece of work in
    • 9
      days
    • ,
    • 10
      days
    • ,
    • 14
      days
    • ,
    • 5
      days
    • and
    • 11
      days
    • respectively.
    • Who has the greatest capacity to do work?
  • A
  • B
  • E
  • C
  • D
Question 6
6.
    • A can do
    • 4

      11
    • of a work in
    • 3
      7

      11
      hr
    • .
    • He works for
    • 4
      hr
    • when B joins him.
    • They work together and complete the work in
    • 2
      hr
    • .
    • In how much time, B alone can do the work?
  • 4
    hr
  • 6
    hr
  • 7
    hr
  • 5
    hr
  • 3
    hr
Question 7
7.
    • A and B can do a work in
    • 3
      15

      17
      days
    • ,
    • B and C can do it in
    • 5
      1

      2
      days
    • and C and A can do it in
    • 3
      15

      17
      days
    • .
    • In how much time can
    • each of them do it seperately?
  • (
    6
    days
    ,
    12
    days
    ,
    11
    days
    )
  • (
    7
    days
    ,
    11
    days
    ,
    11
    days
    )
  • (
    6
    days
    ,
    11
    days
    ,
    11
    days
    )
  • (
    6
    days
    ,
    11
    days
    ,
    12
    days
    )
  • (
    7
    days
    ,
    12
    days
    ,
    11
    days
    )
Question 8
8.
    • Two pipes can fill a tank in
    • 11
      min
    • and
    • 16
      min
    • respectively.
    • Both pipes are
    • opened together and after some time the first pipe is closed and the tank
    • becomes full in
    • 11
      7

      11
      min
    • from the time when both pipes are opened.
    • For how much time was first pipe open?
  • 4
    min
  • 2
    min
  • 3
    min
  • 1
    min
  • 5
    min
Question 9
9.
    • A certain number of men can do a work in
    • 16
      days
    • .
    • If there were
    • 10
    • men
    • less
    • ,
    • it would take
    • 16
      days
    • more
    • to complete the work.
    • How many men are required to complete the work in
    • 8
      days
    • ?
  • 40
  • 39
  • 43
  • 37
  • 41
Question 10
10.
    • A can do a work in
    • 4
      days
    • .
    • With the help of B, A can do the same work in
    • 2
      6

      11
      days
    • .
    • In how many days can B alone do the work?
  • 8
    days
  • 10
    days
  • 7
    days
  • 6
    days
  • 4
    days