TIME, WORK AND WAGES & PIPE AND CISTERNS NOTE WITH SOLVED EXAMPLE AND SHORTCUT METHOD

The problems on work and time deal with working agents, usually men, women or boys, who work alone or together on the same work. The rates of work or work capacities of the working agents are different so that combining the working agents together creates a bit of complexity. Usually in how many days a work can be completed is asked for.
           In contrast, in work-wage problems we are interested in how much one working agent should earn after working on a job for certain number of days. Though in this type of problems also, we have working agents with different work capacities, time of completion of a work is not of interest, of interest is how much a working agent might earn from the work. The guiding principle here obviously is, the more is the work capacity of a working agent the more will be the agent's earning per unit time.

            In pipes and cisterns problems, we don't have men, women or boys working and in the first look these problems seem to be different from the work-time problems. But if you look into the essentials of this type of problems, you will find little difference from work-time problems. In both work-time and pipes and cistern problems, working agents do work at different rates, nature of working agents do not change the nature of problems or solution methods.

           In pipes and cisterns problems, the draining or filling pipes are the two types of working agents working at different rates in filling up or emptying the cistern. while in work-time problems the men, women or boys work at different rates to complete the same work. The difference between the two types lies in the work destruction of the draining pipes equivalence of which we don't find in work-time problems.

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