Lazy Larry agreed to work on a job for his brother-in-law for thirty hours at eight dollars an hour, on the condition that he would forfeit ten dollars per hour for every hour that he idled. At the end of the thirty hours Larry wasn't owed any money and didn't owe his brother-in-law any money either. How many hours did Larry work and how many hours did he idle?
Lazy Larry worked 16-2/3 hours and idled 13-1/3 hours. 16-2/3 hours, at $8.00 an hour amounts to the same amount as 13-1/3 hours at $10.00 per hour.
Find four numbers, the sum of which is 45, so that if 2 is added to the first number, 2 is subtracted from the second number, the third number is multiplied by 2 and the fourth number is divided by 2, then the four numbers so produced are all the same. What are the four numbers?
Jack had only $2, but he needed $3 for his cab fare home. He went to a pawn shop and pawned his $2 for $1.50. Jack then bumped into Don and told him that he would sell him his $2 pawn ticket for $1.50. Dan agreed. Since Jack started out with $2, and he ended up with $3, who is out the extra dollar and why?
Don is out the extra dollar. Before the pawn broker will return the $2 to the ticket holder, he will want the $1.50 which he advanced returned to him. Don will give the pawn broker the ticket and the $1.50, and the pawn broker will then return the $2.
Mr. and Mrs. Smith were walking home from the shopping mall with their purchases when Mr. Smith began to complain that his load was too heavy. Mrs. Smith turned to her husband and said, "I don't know what you're complaining about because if you gave me one of your parcels, I would have twice as many as you and if I gave you just one of mine, we would have equal loads." How many parcels was each carrying?
Mrs. Smith was carrying seven parcels and Mr. Smith was carrying five.
Mr. Grumper grumbles about bad time-keeping trains like everybody else. On one particular morning he was justified, though. The train left on time for the one hour journey and it arrived 5 minutes late. However, Mr. Grumper's watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes. His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock. If the train traveled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much?
The station clock is 3 minutes fast. The morning journey took 65 minutes, and the evening journey therefore took 52 minutes, and the train arrived 57 minutes after it should have left, that is, 3 minutes early.
Two wine merchants arrive at the gates of Paris. One has 64 and the other 20 barrels of wine. Since they have not enough money to pay the custom duties, the first pays 40 francs and 5 barrels of wine. The second pays 2 barrels of wine but receives 40 francs in change.
What is the value of each barrel of wine and what is the duty payable?
The value of a barrel is 120 francs and the duty is 10 francs a barrel.