Algebraical Exercises, Progressively Arranged

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Macmillan and Company, 1867 - Algebra - 164 pages
 

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Page 62 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Page 47 - Two trains start at the same time from two towns, and each proceeds at a uniform rate towards the other town. When they meet it is found that one train has run 108 miles more than the other, and that if they continue to run at the same rate they will finish the journey in 9 and 16 hours respectively.
Page 75 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 17 - A man travelled 105 miles, and then found that if he had not travelled so fast by 2 miles an hour, he should have been 6 hours longer in performing the journey.
Page 49 - A person has just a hours at his disposal; how far may he ride in a coach which travels...
Page 25 - An army in a defeat loses one-sixth of its number in killed and wounded, and 4000 prisoners. It is reinforced by 3000 men, but retreats, losing a fourth of its number in doing so. There remain 18000 men. What was the original force ? 72.
Page 18 - A and B together can do a piece of work in 2£ days ; A and C in 3-J- days ; B and C in 3f days.
Page 89 - A gentleman sends a lad into the market to buy a shilling's worth of oranges. The lad having eaten a couple, the gentleman pays at the rate of a penny for fifteen more than the market price,
Page 56 - The length of a rectangular field is to its breadth as 6 to 5. One-sixth of the field was planted, which left 625 square yards for ploughing. What is the length ? 2.

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