2024-09-25T19:51:06+03:00[Europe/Moscow] en true <p>Stations A and B are 120 miles apart on a single-track railroad. At the same time that a train leaves A for B at 25 mph, a train leaves B for A at 15 mph. Just as the first train leaves A, a South <strong>American botfly flies</strong> from the front of the engine straight toward the other train at 100 mph. On meeting the second train it immediately turns back and flies straight for the first train. It continues to fly back and forth with undiminished speed until it is crushed in the eventual collision. <strong>How far had the fly flown?</strong></p>, <p>A man walks one mile south, one mile west, then one mile north, ending where he began. From <strong>how many points on the surface of the earth can such a journey be made</strong>? (There are more than 1).</p>, <p>Maynard's Grandfather Clock is driven by two weights, one for the striking mechanism which strikes the hours only, the other for the time mechanism. When he hears the clock strike his bedtime, he immediately winds the clock and retires. After winding, the weights are exactly opposite each other. The weights are again opposite every six hours thereafter. What is <strong>Maynard's bedtime</strong>?</p>, <p>[MAY 2017] Assuming the sun rises at 6:00 a.m., sets at 6:00 p.m., and moves at a uniform rate, how can a lost <strong>boy scout determine south by means of a watch</strong> on a cloudless day?</p>, <p>In a fast Major League baseball game,<strong> pitcher Hi N. Outside </strong>managed to get by with the minimum number of pitches possible. He played the entire game, which was not called prior to completion. How many pitches did he make?</p>, <p>[MAY 2017] What is the least number of links that must be disengaged from a <strong>23-link chain</strong> so that any number of links from 1 to 23 can be obtained by taking one or more of the pieces?</p>, <p>State University won their first <strong>football game of the season 17</strong> to 0. Though they scored no safeties, they managed to score more points each quarter than they had scored in the previous quarter. What were State’s quarter scores?</p>, <p>How many colors are necessary for the squares of a chessboard in order to assure that a <strong>bishop cannot move </strong>from one square to another of the same color?</p>, <p>A <strong>neat computer programmer wears a clean shirt</strong> every day. If he drops off his laundry and picks up the previous week's load every Monday night, how many shirts must he own to keep him going?</p>, <p>Very few people are aware of the <strong>growth pattern of Jack's beanstalk</strong>. On the first day it increased its height by 1/2, on the second day by 1/3, on the third day by 1/4, and so on. How long did it take to achieve its maximum height (100 times its original height)?</p> flashcards
Litton's Problematic Recreations

Litton's Problematic Recreations

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  • Stations A and B are 120 miles apart on a single-track railroad. At the same time that a train leaves A for B at 25 mph, a train leaves B for A at 15 mph. Just as the first train leaves A, a South American botfly flies from the front of the engine straight toward the other train at 100 mph. On meeting the second train it immediately turns back and flies straight for the first train. It continues to fly back and forth with undiminished speed until it is crushed in the eventual collision. How far had the fly flown?

    300 Miles

  • A man walks one mile south, one mile west, then one mile north, ending where he began. From how many points on the surface of the earth can such a journey be made? (There are more than 1).

    Infinite

  • Maynard's Grandfather Clock is driven by two weights, one for the striking mechanism which strikes the hours only, the other for the time mechanism. When he hears the clock strike his bedtime, he immediately winds the clock and retires. After winding, the weights are exactly opposite each other. The weights are again opposite every six hours thereafter. What is Maynard's bedtime?

    9 PM or 3 AM

  • [MAY 2017] Assuming the sun rises at 6:00 a.m., sets at 6:00 p.m., and moves at a uniform rate, how can a lost boy scout determine south by means of a watch on a cloudless day?

    Align the hour hand with the sun’s azimuth, and south will be midway between the hour hand and 12.

  • In a fast Major League baseball game, pitcher Hi N. Outside managed to get by with the minimum number of pitches possible. He played the entire game, which was not called prior to completion. How many pitches did he make?

    25

  • [MAY 2017] What is the least number of links that must be disengaged from a 23-link chain so that any number of links from 1 to 23 can be obtained by taking one or more of the pieces?

    2

  • State University won their first football game of the season 17 to 0. Though they scored no safeties, they managed to score more points each quarter than they had scored in the previous quarter. What were State’s quarter scores?

    0 , 3 , 6 , 8

  • How many colors are necessary for the squares of a chessboard in order to assure that a bishop cannot move from one square to another of the same color?

    8

  • A neat computer programmer wears a clean shirt every day. If he drops off his laundry and picks up the previous week's load every Monday night, how many shirts must he own to keep him going?

    15

  • Very few people are aware of the growth pattern of Jack's beanstalk. On the first day it increased its height by 1/2, on the second day by 1/3, on the third day by 1/4, and so on. How long did it take to achieve its maximum height (100 times its original height)?

    198