Time and work concept [closed]

Multi tool use
Multi tool use












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$L$, $M$, and $P$ can do a certain piece of work in $15$, $20$, and $40$ days, respectively. They started the work together. M left the work after $4$ days of starting and $P$ left the work before $3$ days of completion. In how many days will the work be completed?










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closed as off-topic by José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin Dec 12 '18 at 17:36


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.





















    -1












    $begingroup$


    $L$, $M$, and $P$ can do a certain piece of work in $15$, $20$, and $40$ days, respectively. They started the work together. M left the work after $4$ days of starting and $P$ left the work before $3$ days of completion. In how many days will the work be completed?










    share|cite|improve this question











    $endgroup$



    closed as off-topic by José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin Dec 12 '18 at 17:36


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin

    If this question can be reworded to fit the rules in the help center, please edit the question.



















      -1












      -1








      -1


      0



      $begingroup$


      $L$, $M$, and $P$ can do a certain piece of work in $15$, $20$, and $40$ days, respectively. They started the work together. M left the work after $4$ days of starting and $P$ left the work before $3$ days of completion. In how many days will the work be completed?










      share|cite|improve this question











      $endgroup$




      $L$, $M$, and $P$ can do a certain piece of work in $15$, $20$, and $40$ days, respectively. They started the work together. M left the work after $4$ days of starting and $P$ left the work before $3$ days of completion. In how many days will the work be completed?







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      edited Dec 10 '18 at 15:51









      Math Girl

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      asked Dec 10 '18 at 15:13









      Aritrodip RoyAritrodip Roy

      1




      1




      closed as off-topic by José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin Dec 12 '18 at 17:36


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin

      If this question can be reworded to fit the rules in the help center, please edit the question.







      closed as off-topic by José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin Dec 12 '18 at 17:36


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – José Carlos Santos, Yuriy S, Arnaud D., Robert Z, Lord_Farin

      If this question can be reworded to fit the rules in the help center, please edit the question.






















          2 Answers
          2






          active

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          1












          $begingroup$

          Hint: compute how much each one does in a day. How much did M do in total? How much did P do? How much is left for L?






          share|cite|improve this answer









          $endgroup$





















            0












            $begingroup$

            Let $W$ be the amount of work. $L$,$P$,$M$ does $frac{W}{15},frac{W}{20},frac{W}{40}$ much work per day. Let $d$ days be needed for three of them to complete the work, then:
            $$frac{W}{15}cdot 4+frac{W}{20}cdot d+frac{W}{40}cdot (d-3)=W.$$
            Can you solve the equation and find $d$?



            The answer:




            $d=11$ days







            share|cite|improve this answer









            $endgroup$




















              2 Answers
              2






              active

              oldest

              votes








              2 Answers
              2






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              1












              $begingroup$

              Hint: compute how much each one does in a day. How much did M do in total? How much did P do? How much is left for L?






              share|cite|improve this answer









              $endgroup$


















                1












                $begingroup$

                Hint: compute how much each one does in a day. How much did M do in total? How much did P do? How much is left for L?






                share|cite|improve this answer









                $endgroup$
















                  1












                  1








                  1





                  $begingroup$

                  Hint: compute how much each one does in a day. How much did M do in total? How much did P do? How much is left for L?






                  share|cite|improve this answer









                  $endgroup$



                  Hint: compute how much each one does in a day. How much did M do in total? How much did P do? How much is left for L?







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Dec 10 '18 at 15:21









                  Ross MillikanRoss Millikan

                  295k23198371




                  295k23198371























                      0












                      $begingroup$

                      Let $W$ be the amount of work. $L$,$P$,$M$ does $frac{W}{15},frac{W}{20},frac{W}{40}$ much work per day. Let $d$ days be needed for three of them to complete the work, then:
                      $$frac{W}{15}cdot 4+frac{W}{20}cdot d+frac{W}{40}cdot (d-3)=W.$$
                      Can you solve the equation and find $d$?



                      The answer:




                      $d=11$ days







                      share|cite|improve this answer









                      $endgroup$


















                        0












                        $begingroup$

                        Let $W$ be the amount of work. $L$,$P$,$M$ does $frac{W}{15},frac{W}{20},frac{W}{40}$ much work per day. Let $d$ days be needed for three of them to complete the work, then:
                        $$frac{W}{15}cdot 4+frac{W}{20}cdot d+frac{W}{40}cdot (d-3)=W.$$
                        Can you solve the equation and find $d$?



                        The answer:




                        $d=11$ days







                        share|cite|improve this answer









                        $endgroup$
















                          0












                          0








                          0





                          $begingroup$

                          Let $W$ be the amount of work. $L$,$P$,$M$ does $frac{W}{15},frac{W}{20},frac{W}{40}$ much work per day. Let $d$ days be needed for three of them to complete the work, then:
                          $$frac{W}{15}cdot 4+frac{W}{20}cdot d+frac{W}{40}cdot (d-3)=W.$$
                          Can you solve the equation and find $d$?



                          The answer:




                          $d=11$ days







                          share|cite|improve this answer









                          $endgroup$



                          Let $W$ be the amount of work. $L$,$P$,$M$ does $frac{W}{15},frac{W}{20},frac{W}{40}$ much work per day. Let $d$ days be needed for three of them to complete the work, then:
                          $$frac{W}{15}cdot 4+frac{W}{20}cdot d+frac{W}{40}cdot (d-3)=W.$$
                          Can you solve the equation and find $d$?



                          The answer:




                          $d=11$ days








                          share|cite|improve this answer












                          share|cite|improve this answer



                          share|cite|improve this answer










                          answered Dec 10 '18 at 16:14









                          farruhotafarruhota

                          20.2k2738




                          20.2k2738















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