Elementary Algebra

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« — 2 X — 3 if — 4: X — 5 x + l x + 6 _ x + 2 x + 5 x + 2^x + 7~x + 3'^x + 6' 8- 5x 4:X + 3 _ '■Zx-1'^ x + 3 ~^' X -{- a _x -\-b X — a~ X — V X X -\- a — b a{a — h) X — a X — b ~ {x — c)(x — d)' X — la X — a , X — 5a x — a X — 9a X — Sa X — 'Za x -\- %a EXERCISE LXXVIII.
1. A vessel can be emptied by three taps : by the first alone in 3 hours and 40 minutes, by the second alone in 2 hours and 45 minutes, and by the third alone in 2 hours and 12 minutes. I
...n what time would it be emptied were it full and all three taps were opened together ?
2. A cistern can be filled in 15 minutes by two pipes, A and B, together. After A has been opened for 5 'minutes B is also turned on, and the cistern is filled in 13 minutes more. In what time would it be filled by each pipe sep- arately ?
3. A man invests one third of his money in 3-per-cent bonds, two fifths of it in 4-per-cent bonds, and the remain- der of it in 5-per-cent bonds.


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