Elementary arithmetic, with brief notices of its history... by Robert Potts.

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2. If 5 men or 7 women can do a piece of work in 37 days, how
long will a piece of work twice as great occupy 7 men and 5 women i
3. If 12 men and 9 boys do a piece of work in 25 days, find how
many men, assisted by an equal number of boys, would be required to
do the same in 9 days, supposing 2 men to do as much as 3 boys.
4. If 3 men, 4 women, 5 boys, or 6 girls can perform a piece of
work in 60 days, how long will it take 1 man, 2 women, 3 boys, and
4 girls, working together?
5. Men, women, and children are employed to do a piece of work.
A man can do twice as much as a woman, and 6 times that a child;
8 women and 18 children can do the work in 40 days. Hfow long
would it take 10 men to do it?
6. Three men and two women take three days to do a piece of
work which four women and three boys can do in 5 days, and one man
does as much as three women in the same time. How long would it
take a man, a woman, or a boy to do the work alone?
7. If 5 men and 2 boys can complete a piece of work in 6 days.
which 5 boys and 2 men will complete in 12 days, how long would a
single man or boy take to complete it by himself?
8. If a man can do treble, and a woman double the work of a
boy in the same time, how long would 9 men, 15 women, and 18 boys
take to do double the work which 7 men, 12 women, and 9 boys complete in 250 days?
9. If 6 men and 2 boys can reap 13 acres in 2 days, and 7 men.
and 5 boys can reap 33 acres in 4 days, how long will it take 2 men
and 2 boys to reap 10 acres?
XXX.
1. Two persons, A and B, finish a work in 20 days, which B by
himself could do in 50 days. In what time could A finish it by himself? How much more of the work is done by A than by B?
2. A alone can do a piece of work in 11 days, and B alone can do
it in 17 days. How long would they take to do it together?
3. A and B do a piece of work together in 6 days, and B can do a
fifth of the same in a day and a half. How long would each be in doing
it alone?
4. A and B can build a wall together in 12 days, A and C in 15>
B and Cin20. In how many days can they do it (1) working all together
(2) each working separately?
5. A and B can do a piece of work alone in 15 and 18 days respectively; they work together at it for 3 days, when B leaves, but A continues, and after 3 days is joined by C, and they finish it together
in 4 days. In what time would C do the work by himself?
6. A and B can perform a work in 7 days, A and C in 8 days,
and A, B, and C in 5 days. In what time can B and C perform it?
7. A does - of a piece of work in 4 hours, B does 4 of what remains