The elements of algebra for the use of schools and colleges - Softcover

Inhaltsangabe

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1873 Excerpt: ... hands of a watch are exactly opposite? 22. A watch gains as much as a clock loses, and 1798 hours by the clock are equivalent to 1802 hours by the watch; find the error in each per hour. 28. At what times will tire hour and minute hands of a clock be together during 12 hours? 24. A hare pursued by a greyhound is 60 leaps in advance, and makes 9 leaps while the hound makes 6, but 8 of the hound's are equal to 7 of the hare's. How many leaps must the hound take to catch the hare? 25. A steamboat which can travel at the rate of a miles an hour, in still water, goes from one station to another with the current in t hours, and goes back in t' hours; find the velocity of the current in miles per hour. 26. In the previous question, if the distance between the stations be 19£ miles, the time of going down the river 1 hour 18 minutes, and up the river 2 hours 10 minutes, calculate the velocity of the current, and the rate of the steamer in still water. 27. A certain number of sovereigns, shillings, and sixpences together amounts to £8 6s. 6d., and the amount of the shillings is a guinea less than that of the sovereigns, and a guinea and a half more than that of the sixpences; find the number of each coin. 28. Two minutes after a railway train has left a station, A, where it had stopped 7 minutes, it meets the express, which set out from a station, B, when the former was 28 miles on the other side of A; the express travels at double the rate of the other, and performs the journey from B to A in an hour and a half: find the rates at which the trains travel. 29. The circumference of the fore wheel of a carriage is 10 feet, and that of the hind wheel 12 feet; the former has made 100 more revolutions than the latter: how many times has the hind wheel revolved?...

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