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Work Problems Practice Problems

based on 1 rating
By — McGraw-Hill Professional
Updated on Sep 27, 2011

Work Problems Practice Problems

Set 1: Work Problems - Two Works Working at Different Rates

To review work problems, go to Work Problems Help

Practice

  1. Sherry and Denise together can mow a yard in 20 minutes. Alone, Denise can mow the yard in 30 minutes. How long would Sherry need to mow the yard by herself?
  2. Together, Ben and Brandon can split a pile of wood in 2 hours. If Ben could split the same pile of wood in 3 hours, how long would it take Brandon to split the pile alone?
  3. A boy can weed the family garden in 90 minutes. His sister can weed it in 60 minutes. How long will they need to weed the garden if they work together?
  4. Robert needs 40 minutes to assemble a bookcase. Paul needs 20 minutes to assemble the same bookcase. How long will it take them to assemble the bookcase if they work together?
  5. Together, two pipes can fill a reservoir in Work Problems Practice of an hour. Pipe I needs one hour ten minutes ( Work Problems Practice hours) to fill the reservoir by itself. How long would Pipe II need to fill the reservoir by itself?
  6. A pipe can drain a reservoir in 6 hours 30 minutes ( Work Problems Practice hours). A larger pipe can drain the same reservoir in 4 hours 20 minute ( Work Problems Practice hours). How long will it take to drain the reservoir if both pipes are used?

Solutions

In the following, t will represent the unknown time.

  1. Worker

    Quantity

    Rate

    Time

    Sherry

    1

    1/ t

    t

    Denise

    1

    1/30

    30

    Together

    1

    1/20

    20

    The equation to solve is 1/ t + 1/30 = 1/20. The LCD is 60 t .

    Work Problems Solutions

    Alone, Sherry can mow the yard in 60 minutes.

  2. Worker

    Quantity

    Rate

    Time

    Ben

    1

    1/3

    3

    Brandon

    1

    1/ t

    t

    Together

    1

    1/2

    2

    The equation to solve is 1/3 + 1/ t = 1/2. The LCD is 6 t .

    Work Problems Solutions

    Brandon can split the wood-pile by himself in 6 hours.

  3. Worker

    Quantity

    Rate

    Time

    Boy

    1

    1/90

    90

    Girl

    1

    1/60

    60

    Together

    1

    1/ t

    t

    The equation to solve is 1/90 + 1/60 = 1/ t . The LCD is 180 t .

    Work Problems Solutions

    Working together, the boy and girl need 36 minutes to weed the garden.

  4. Worker

    Quantity

    Rate

    Time

    Robert

    1

    1/40

    40

    Paul

    1

    1/20

    20

    Together

    1

    1/ t

    t

    The equation to solve is 1/40 + 1/20 = 1/ t . The LCD is 40 t .

    Work Problems Solutions

    Together Robert and Paul can assemble the bookcase in Work Problems Solutions minutes or 13 minutes 20 seconds.

  5. Worker

    Quantity

    Rate

    Time

    Pipe I

    1

    6/7 Work Problems Solutions

    7/6

    Pipe II

    1

    1/ t

    t

    Together

    1

    Work Problems Solutions

    3/4

    The equation to solve is 6/7 + 1/ t = 4/3. The LCD is 21 t .

    Work Problems Solutions

    Alone, Pipe II can fill the reservoir in Work Problems Solutions hours or 2 hours, 6 minutes. ( Work Problems Solutions of an hour is Work Problems Solutions of 60 minutes and Work Problems Solutions .)

  6. Worker

    Quantity

    Rate

    Time

    Pipe I

    1

    Work Problems Solutions

    Work Problems Solutions

    Pipe I

    1

    Work Problems Solutions

    Work Problems Solutions

    Together

    1

    1/ t

    t

    The equation to solve is 2/13 + 3/13 = 1/ t . The LCD is 13 t .

    Work Problems Solutions

    Together the pipes can drain the reservoir in Work Problems Solutions hours or 2 hours 36 minutes. ( Work Problems Solutions of hour is Work Problems Solutions of 60 minutes and Work Problems Solutions .)

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