XI. Puzzling Problems. 1. If a person traveling as expeditiously as possible from Boston to San Francisco, should mail a letter to his friend in Boston every day at noon, how often would the letters be received in Boston? 2. If a man and a boy, the boy doing exactly one-half as much work as the man, can hoe one and one-half acres of corn in one and one-half days, how many acres can 6 men hoe in 6 days? 3. John and James sold apples together. The first day they sold 60 apples at the rate of 5 apples for 2 cents, and received 24 cents. The second day they divided the apples. John took 30 of the larger apples and sold them at the rate of 2 for 1 cent. James took the remaining 30 apples and sold them at the rate of 3 for one cent. They received 25 cents. Why did they receive one cent more the second day than the first? 4. A pile of four-foot wood stands upon a hill-side. The pile is 8 feet long (measured on the ground), and 4 feet high (measured vertically). Does the pile contain one cord? Se 5. A man had shingles enough to cover his house if he laid them 4 inches to the weather. He laid them 4 inches to th weather. What part of the shingles provided remained? Explain. 6. If on a line of railroad connecting Chicago and San Francisco one passenger train leaves Chicago daily at 6 o'clock A.M., and makes the journey to San Francisco in exactly five days, and one train leaves San Francisco daily at 6 o'clock P.M., and makes the journey to Chicago in exactly five days, (a) a person taking the train at Chicago Wo meet will et how many passenger trains while going to San Francisco? ? (b) How many trains of passenger cars but required to equip the road? Carefully paste this sheet upon card-board; then cut out the protractor with a sharp knife and preserve it |