[99.] A and B set out on a walking expedition at the same time—A from Melbourne to Geelong, and B from Geelong to Melbourne. On reaching Geelong A immediately starts again for Melbourne. Now, A arrives at Geelong four hours after meeting B, but he reaches Melbourne three hours after their second meeting. In what time did each perform the journey?
[100.] What two numbers are those of which the square of the first plus the second equals 11, and the square of the second plus the first equals 7?
A schoolmaster, describing a money-lender, says, “He serves you in the present tense, he lends you in the conditional mood, keeps you in the subjunctive mood, and ruins you in the future.”
[101.] “How much money have I,” says a father to his son. Son replied, “They don’t teach prophecy at our school.” “Well, they teach arithmetic, I suppose,” rejoined the father, smartly; “if you multiply one-half, one-third, one-fourth, one-sixth, three-quarters, and two-thirds of my money together, the product will be 10368. Now find out how many pence I have.”
[102.] A person has 1260 quarters of wheat. He sells one-fifth at a gain of 5 per cent., one-third at a gain of 8 per cent., and the remainder at a gain of 12 per cent. Had he sold the whole at a gain of 10 per cent. he would have made £23 2s. more than he did. Find the cost price of one quarter.