Time and Work


  1. A can copy 75 pages in 25 hours. A and B together can copy 135 pages in 27 hours. In what time can B copy 42 pages ?









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    In 25 hours A can copy 75 pages
    In 1 hour A can copy 75/25 = 3 pages
    In 25 hours (A and B) can copy = 135/27 = 5 pages

    Correct Option: A

    In 25 hours A can copy 75 pages
    In 1 hour A can copy 75/25 = 3 pages
    In 25 hours (A and B) can copy = 135/27 = 5 pages
    ∴ In 1 hour B can copy (5 - 3) = 2 pages
    ∴ B can copy 42 pages in 21 hours.


  1. A man, on tour travel first 160 km, at 64 km/hr. and the next 160km at 80km/hr. the average speed for the first 320 km. of the tour is ?









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    Average speed = 2t1 x t2/( t1 + t2)

    Correct Option: B

    Average speed = 2t1 x t2/( t1 + t2)
    = (2x64x80)/(64+80)km
    = (2 x 64 x 80 ) / 144 km/hr.
    =71.11km/hr.



  1. A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together ?









  1. View Hint View Answer Discuss in Forum

    A 's 1 day's work = 1/4
    B ' s 1 days's work = 1/12
    (A+B) ' s day ' s work = 1/4 + 1/12

    Correct Option: B

    A 's 1 day's work = 1/4
    B ' s 1 days's work = 1/12
    (A+B) ' s day ' s work = 1/4 + 1/12
    = (3 + 1)/12 = 4/12 = 1/3
    Days required by A and B together to do the work = 1 / (A + B ) ' s day ' s work = 3 days


  1. A stock of food is enough for 240 men for 48 days. How long will the same stock last for 160 men?









  1. View Hint View Answer Discuss in Forum

    M1 = 240, D1 = 48, M2 = 160 and D2 = ?
    According to the formula,
    M1D1 = M2D2

    Correct Option: D

    M1 = 240, D1 = 48, M2 = 160 and D2 = ?
    According to the formula,
    M1D1 = M2D2
    ⇒ 240 x 48 = 160 x D2
    ∴ D2= (240 x 48)/160 = 72



  1. If 5 days take 7 h to pack 35 toys, how many boys can pack 65 toys in 3 h ?









  1. View Hint View Answer Discuss in Forum

    Given, M1 = 5, M2 = ?, T1 = 7, T2 = 3,
    W1 = 35 and W2 = 65
    According to the formula,
    M1T1W2 = M2T2W1

    Correct Option: D

    Given, M1 = 5, M2 = ?, T1 = 7, T2 = 3,
    W1 = 35 and W2 = 65
    According to the formula,
    M1T1W2 = M2T2W1
    ⇒ 5 x 7 x 65= M2 x 3 x 35
    ⇒ M2 = (5 x 7 x 65)/(35 x 3) = 65/3 boys