document.write( "Question 1180858: A farmer has two tractors P and Q. Tractor P, working alone, can plough a piece of land in 5 hours while tractor Q would take 1.6667 hours less than tractor P.
\n" ); document.write( " (a) Determine the time the two tractors ploughing together,would take to complete the work. (3 marks)
\n" ); document.write( "(b) One day, the tractors started to plough the piece of land together. After 40 minutes,tractor P broke down but Q continued alone and completed the work.
\n" ); document.write( "Calculate the total time taken to plough the piece of land that day. (4 marks)
\n" ); document.write( "(c) In another season, the farmer hired an additional tractor R to assist P and Q which retained the same rate of working as before. The three tractors took I hour 12 minutes to plough the same piece of land. The owner of tractor R was paid some money proportional to the work done by the tractor.
\n" ); document.write( "If the total work was valued at ksh 20000 , find the amount of money paid to the owner of tractor R. \n" ); document.write( "

Algebra.Com's Answer #810656 by ikleyn(52783) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " I will solve part (a) ONLY, and later will explain you WHY.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The rate of work of tractor P is    of the job per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The rate of work of tractor Q is   =   of the job per hour.\r\n" );
document.write( "\r\n" );
document.write( "    Notice that   represents    hours = 1.6667 hours)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Their combined rate is   +  =   of the job per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that both tractors will complete the job in    hours, or  1 hour and 15 minutes, working together.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard and typical joint work problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is a wide variety of similar solved joint-work problems with detailed explanations in this site. See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic
\n" ); document.write( "\"Rate of work and joint work problems\" of the section \"Word problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "//////////// and now the explanation WHY \\\\\\\\\\\\\\\\\\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

One and ONLY ONE problem/question per post.

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is the RULE, the POLICY and the REQUIREMENT of this forum.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is written in this page\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from which you post your problems.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is assumed that you read these rules before posting.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is also assumed that you do understand what is written in that page and follow the rules.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Those who violate them, work against their own interests.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*******************************************************************\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " So P L E A S E post your problems S E P A R A T E L Y (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "*******************************************************************\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );