...6, 30 = c; then ax-\-c=.bx; whence, x = b—a' from which we might deduce particular solutions. 6. If A can do a piece of .work in a days, and B in b days; in how many days will they do the work, if they both work at it together? Let x be the...

...same reasoning, is the part of the work done by B. Therefore, —-+— = 1. (1 is the whole work). 19. If A can do a piece of work in a days, and B can. do the same in b days, how long will it take them, if they both work together ? ab Ans. days....

...treble of A's ; also when B's is half, and C's the third part of A's. Ans. Чх and 3#; - and - . 13. If A can do a piece of work in a days, and B in b days, find the part done by each in x days. Ans. - and -.. 14. Express the two numbers whose...

...the work ; and in like manner В can do the work in 17— days ; С can do it in 23 days. 41 31 12. If A can do a piece of work in a days, and В can do it in Ъ days, С in с days, and so on, it is required to find how long it will take them jointly to perform...

...be equal to unity ; hence equation (i), which, reduced, gives 5|, the number of days required. 72. If A can do a piece of work in a days, and B can do the same in 6 days, how long will it take them if they both work together ? ab Ans. -- r days...

...must be equal to unity ; hence equation (1), which, solved, gives 5|, the number of days required. 72. If A can do a piece of work in a days, and В can do. the same in b days, how long will it take them if they work together ? ab Ans. — — 73. A can do...

...x days, the sum of these two fractions must be equal to unity ; |, the number of days required. 72. If A can do a piece of work in a days, and B can do the same in b days, how long will it take them if they work together ? Ans. ali a + days....

...greater number. Subtract the difference from the sum and take half the result for the smaller number. (2) If A can do a piece of work in a days, and B can do the same work in b days, in how many days can both together do it? Let x = the required number...

...greater number. Subtract the difference from the sum and take half the result for the smaller number. 2. If A can do a piece of work in a days, and В can do the same work in b days, in bow many days can both together do it ? Let x = the required number of...

...greater number. Subtract the difference from the sum and take half the result for the smaller number. 2. If A can do a piece of work in a days, and B can do the same work in b days, in how many days can both together do it ? Let x = the required number...