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TIME AND WORK

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INTRODUCTION-               Suppose Champu is given a task of constructing a building of 30 floors. He can construct 2 floors in a day. In how many days he will complete his task? Seems Simple I guess. Yes, 15 Days. Most of you have got it right. As he is building 2 floors in a day, in 15 days he will complete his task. Now, does it conclude anything????????? 30(Task) = 2(Work completed per day)*15(Number of days it took to complete the task) This takes us towards a formula; WORK DONE=WORK RATE * TIME BUT DO WE REQUIRE THIS FORMULA?????????????? Let's try a question. Question- Ram can do a piece of work in 10 days and his friend Shyam can do the same piece of work in 20 days.How long will it take for both of them to complete the work? General Method-                   Ram's 1-day work(work rate)=1/10 Shyam's 1-day work= 1/20 Now the question is why 1/10 or 1/20? Why we have taken Work Done to be 1 unit? So, it's just for simplification.