Key to Davies Bourdon With Many Additional Examples Illustrating the Algebra
Key to Davies Bourdon With Many Additional Examples Illustrating the Algebra
Charles Davies
The book Key to Davies Bourdon With Many Additional Examples Illustrating the Algebra was written by author Charles Davies Here you can read free online of Key to Davies Bourdon With Many Additional Examples Illustrating the Algebra book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Key to Davies Bourdon With Many Additional Examples Illustrating the Algebra a good or bad book?
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$40000, rate 5 per cent. 3d. $45000, rate 6 " " 26. A cistern may be filled by three pipes. A, B, C. By the two first it can be filled in 70 minutes ; by the first and third it can be filled in 84 minutes ; and by the second and third in 140 minutes. What time will each pipe take to do it in? What time will be required, if the three pipes run together % Call the contents of the cistern 1. 115. ] EQUATIONS OF THE FIRST DEGREE. 65 Let X denote the quantity discharged in 1 minute by the first ; y ..." * " " " " second; z " " « " " '-' third; then will -, - and - denote the number of minutes required X y z for the pipes, separately, to fill the cistern ; and, 1 x-{-y-\-z' will denote the number of minutes required for all three %c fill it, running together ; from the conditions of the problem, 1 ^ + 3' = 70 • • • (1) -^ = ^ • • • • (^) "+^ = 140- • • • (3); clearing of fractions. 70a? + 70y = 1 • • • • (4) 84a; + 84z = 1 • • • . (5) 140y + 140z = 1 . • • ' (6); combining (1) and (2), MOy - 8402 = 2 • • • • (7); combining (6) and (7), 1680y = 8, .
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