Lesson Joint work word problem for the day of April, 1

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Joint work word problem for the day of April, 1

Problem 1

3 boys need 7 days to get a work done. 7 girls need 10 days to get that work done.
How many days is needed to get that work done if both boys and girls work together?

Solution

The boy's team produces  of the job daily, each day. 

The girl's team produces  of the job daily, each day. 

Working together, two teams produce  of the job daily, each day.

 =  = .

Hence, it will take  =  days for both teams to complete the job.

The number of boys and the number of girls were introduced on this problem only to confuse you in the day of April, 1
and to check if you understand properly how to solve joint-work problems.

Actually this data regarding 3 boys and 7 girls is not used in the solution, is excessive and is not relevant to the solution.

Problem 2

It takes 3 hours for 3 workers to load 3 trucks, and they work at the same rate.
How many hours will it take for 1 worker to load 1 truck ?

Solution

The rate of work of each worker is   =  of a truck per hour.


Therefore, the answer is OBVIOUS: 3 hours are needed for 1 worker to load 1 truck.

Problem 3

If three cats catch three rats in three minutes, how many cats will catch 100 rats in 100 minutes ?

Solution

The rate of work of each cat is   =  of a rat per minute.


Therefore, the number of cats to catch 100 rats in 100 minutes is   = 3.


ANSWER.  3 cats.

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April, 1 is an International Fools' day

For further info see this Wikipedia article

          https://en.wikipedia.org/wiki/April_Fools%27_Day

You can find a variety of rate-of-work and joint-work word problems in the lessons
    - Rate of work problems
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Using quadratic equations to solve word problems on joint work
    - Solving rate of work problem by reducing to a system of linear equations
    - Solving joint work problems by reasoning
    - Selected joint-work word problems from the archive
    - Joint-work problems for 3 participants
    - HOW TO algebreze and solve these joint work problems ?
    - Had there were more workers, the job would be completed sooner
    - One unusual joint work problem
    - Snow removal problem
    - Special joint work problems that admit and require an alternative solution method
    - OVERVIEW of lessons on rate-of-work problems
in this site.

Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I.

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