Lesson Joint work word problem for the day of April, 1
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<H2>Joint work word problem for the day of April, 1</H2> <H3>Problem 1</H3>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? <B>Solution</B> <pre> The boy's team produces {{{1/7}}} of the job daily, each day. The girl's team produces {{{1/10}}} of the job daily, each day. Working together, two teams produce {{{1/7 + 1/10}}} of the job daily, each day. {{{1/7 + 1/10}}} = {{{10/70 + 7/70}}} = {{{17/70}}}. Hence, it will take {{{70/17}}} = {{{4}}}{{{2/17}}} days for both teams to complete the job. </pre> 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. <H3>Problem 2</H3>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 ? <B>Solution</B> <pre> The rate of work of each worker is {{{3/(3*3)}}} = {{{1/3}}} of a truck per hour. Therefore, the answer is OBVIOUS: 3 hours are needed for 1 worker to load 1 truck. </pre> <H3>Problem 3</H3>If three cats catch three rats in three minutes, how many cats will catch 100 rats in 100 minutes ? <B>Solution</B> <pre> The rate of work of each cat is {{{3/(3*3)}}} = {{{1/3}}} of a rat per minute. Therefore, the number of cats to catch 100 rats in 100 minutes is {{{100_rats/(100_minutes*(1/3))}}} = 3. <U>ANSWER</U>. 3 cats. </pre> ----------------------- <H3> April, 1 is an International Fools' day</H3> For further info see this Wikipedia article <pre> https://en.wikipedia.org/wiki/April_Fools%27_Day </pre> You can find a variety of rate-of-work and joint-work word problems in the lessons - <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-problem.lesson>Rate of work problems</A> - <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using Fractions to solve word problems on joint work</A> - <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-more-complicated-word-problems-on-joint-work.lesson>Solving more complicated word problems on joint work</A> - <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Using-quadr-eqns-to-solve-word-problems-on-joint-work.lesson>Using quadratic equations to solve word problems on joint work</A> - <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-rate-of-work-problem-by-reducing-to-a-system-of-linear-equations.lesson>Solving rate of work problem by reducing to a system of linear equations</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-joint-work-problems-by-reasoning.lesson>Solving joint work problems by reasoning</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Selected-problems-from-the-archive-on-joint-work-word-problems.lesson>Selected joint-work word problems from the archive</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Joint-work-word-problems-for-3-4-5-participants.lesson>Joint-work problems for 3 participants</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/HOW-TO-algebreze-and-solve-these-joint-work-problems.lesson>HOW TO algebreze and solve these joint work problems ?</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Had-the-number-of-workers-be-more-the-job-would-be-completed-sooner.lesson>Had there were more workers, the job would be completed sooner</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/One-unusual-joint-work-problem.lesson>One unusual joint work problem</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Snow-removal-problem.lesson>Snow removal problem</A> - <A HREF=https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Special-joint-wok-problems-that-admit-and-require-an-alternative-solution-method.lesson>Special joint work problems that admit and require an alternative solution method</A> - <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/OVERVIEW-of-lessons-on-rate-of-work-problems.lesson>OVERVIEW of lessons on rate-of-work problems</A> in this site. Use this file/link <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A> to navigate over all topics and lessons of the online textbook ALGEBRA-I.
