Math Riddles

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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?
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A bird has a head 9cm long. The tail is equal to the size of the head plus a half of the size of the body. The body is the size of the head plus the tail. How long is the bird?
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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?
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If 6 doubloons are worth 1 1/2 ducats, how many ducats are 27 doubloons worth?
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It takes the town hall clock 6 seconds to strike 4 o’clock in the afternoon. How long does it take to strike midnight?
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‘How much is this bag of potatoes?’ asked the man. ’32lb divided by half its own weight,’ said the green grocer. How much did the potatoes weigh?
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