The Mathematical Repository: Containing Analytical Solutions of Near Five Hundred Questions, Mostly Selected from Scarce and Valuable Authors. Designed as Examples to Mac-Laurin's and Other Elementary Books of Algebra

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J. Nourse, 1775 - 336 σελίδες
 

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Σελίδα 79 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? 17.
Σελίδα 48 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 21 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Σελίδα 99 - There is a number consisting of three digits, the first of which is to the second as the second is to the third; the number itself is to the sum of its digits as 124 to 7; and if 594 be added to it the digits will be inverted. What is the number ? equal returns.
Σελίδα 19 - How long would it take the three together to do it ? 34. A cistern, into which the water runs by two cocks, A and B, will be filled by them both running together in 12 hours ; and by the cock A alone in 20 hours. In what time will it be filled by the cock B alone ? Let x — the time in which B will fill it alone.
Σελίδα 89 - Two partners A and B gained £18 by trade. A's money was in trade 12 months, and he received for his principal and gain £26. Also B's money, which was £30, was in trade 16 months.
Σελίδα 7 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together.
Σελίδα 8 - ... the fraud being detected, and the pieces weighed, they were found to be worth, in the whole, no more than eight guineas ; what was the original value of each piece ? Ans 13s, 19.
Σελίδα 85 - TV of the whole journey ; and after he had travelled as many days as he went miles in one day, he met A.
Σελίδα 20 - A market-woman bought in a certain number of eggs at 2 a penny, and as many at 3 a penny, and sold them all out again at the rate of 5 lor two-pence, and, by so doing, lost 4d.

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