ICSE Board Practice

ICSE Grade VII - Time and Work
Question 1
1.
    • Two pipes can fill a tank in
    • 12
      min
    • and
    • 18
      min
    • respectively.
    • Both pipes are
    • opened together and after some time the first pipe is closed and the tank
    • becomes full in
    • 15
      min
    • from the time when both pipes are opened.
    • For how much time was first pipe open?
  • -1
    min
  • 2
    min
  • 1
    min
  • 4
    min
  • 3
    min
Question 2
2.
    • Due to a leak at the bottom, pipe Y takes
    • 3
      3

      7
      hr
    • to fill the tank.
    • The leak alone can empty the full tank in
    • 24
      hr
    • .
    • In what time can pipe Y alone fill the tank when the leak is closed?
  • 4
    hr
  • 3
    hr
  • 1
    hr
  • 6
    hr
  • 2
    hr
Question 3
3.
    • A and B together can do a piece of work in
    • 5
      1

      11
      days
    • .
    • They work together for
    • 2
      days
    • and then A leaves.
    • B completes the remaining work in
    • 4
      6

      7
      days
    • .
    • In how much time can each of them do the work seperately?
  • (
    14
    days
    ,
    9
    days
    )
  • (
    14
    days
    ,
    8
    days
    )
  • (
    14
    days
    ,
    7
    days
    )
  • (
    15
    days
    ,
    8
    days
    )
  • (
    13
    days
    ,
    8
    days
    )
Question 4
4.
    • A can do a piece of work in
    • 14
      hr
    • ,
    • B can do the work in
    • 11
      hr
    • and C in
    • 9
      hr
    • respectively.
    • In how much time can they do it together?
  • 3
    249

    379
    hr
  • 3
    251

    379
    hr
  • 3
    247

    379
    hr
  • 3
    249

    377
    hr
  • 3
    83

    127
    hr
Question 5
5.
    • A and B can do a piece of work in
    • 13
      days
    • and
    • 14
      days
    • respectively.
    • They work together for
    • 4
      days
    • and then B leaves.
    • In how many days the whole work is completed?
  • 9
    days
  • 9
    2

    9
    days
  • 9
    2

    5
    days
  • 9
    2

    7
    days
  • 9
    4

    7
    days
Question 6
6.
    • A sum of
    • ₹572.00
    • will be given to do a work.
    • A and B can do it in
    • 4
      1

      5
      days
    • .
    • B and C can do in
    • 5
      11

      23
      days
    • .
    • C and A can do in
    • 3
      3

      5
      days
    • .
    • How much A, B and C respectively will get if all three work together?
  • (
    ₹273
    ,
    ₹182
    ,
    ₹117
    )
  • (
    ₹273
    ,
    ₹117
    ,
    ₹182
    )
  • (
    ₹117
    ,
    ₹182
    ,
    ₹273
    )
  • (
    ₹182
    ,
    ₹273
    ,
    ₹117
    )
  • (
    ₹182
    ,
    ₹117
    ,
    ₹273
    )
Question 7
7.
    • A can do a piece of work in
    • 10
      days
    • ,
    • B can do the work in
    • 13
      days
    • and C in
    • 15
      days
    • respectively.
    • In how much time can they do it together?
  • 4
    2

    21
    days
  • 4
    days
  • 4
    2

    17
    days
  • 4
    4

    19
    days
  • 4
    2

    19
    days
Question 8
8.
    • A, B, C, D, and E can do a piece of work in
    • 13
      days
    • ,
    • 12
      days
    • ,
    • 7
      days
    • ,
    • 11
      days
    • and
    • 9
      days
    • respectively.
    • Who has the greatest capacity to do work?
  • A
  • B
  • C
  • E
  • D
Question 9
9.
    • A, B and C together can do a work in
    • 1
      1

      5
      days
    • .
    • If A and C can do the work in
    • 3
      days
    • and
    • 4
      days
    • respectively,
    • in how many days can B alone do the work?
  • 5
    days
  • 3
    days
  • 4
    days
  • 1
    day
  • 7
    days
Question 10
10.
    • A and B can do a work in
    • 2
      days
    • and
    • 8
      days
    • respectively.
    • They together undertook to do a piece of work for
    • ₹5000.00
    • .
    • What is the share of B?
  • ₹999.00
  • ₹3998.00
  • ₹4000.00
  • ₹1001.00
  • ₹1000.00