PLANNING JOURNEYS

13. Planning Journeys

171

[Use pencil only when needed.] 1. Find the cost of a mileage book containing 500 miles at $.03 a mile. At $.025 a mile.

2. A single ticket between two places 65 miles apart costs $1.80; the round-trip ticket, $3.00. How much is saved on a round trip by buying the round-trip ticket instead of two single tickets?

3. The cost of the round-trip ticket is how much less expensive than mileage at $.03 a mile?

4. The fare between two places is $3.70. Find the change from a ten-dollar bill in buying one full-fare and three half-fare tickets.

5. Round-trip excursion tickets are advertised at 13 the regular fare with an additional fee of $2.00. At this rate, how much expense is saved on a round trip by two persons if each buys an excursion ticket instead of two single-fare tickets at $16.50 apiece?

6. A journey at a distance is planned. Find the cost of 3 meals in a dining car at $.75 apiece and an upper berth in a sleeping car. Sleeping-car rates: $4.50 for a lower berth; # as much for an upper berth.

7. The journey is to be made over three railroads. The distance on one line is 241.9 miles; on another line, 140.5 miles; and on the other, 175.8 miles. This route is how much shorter than one covering a distance of 754 miles?

8. The distance between two places is 292.5 miles. Find how much longer it will take an automobile to make the trip, traveling at 19.5 miles an hour, than the steam cars, which make the journey in 7 hours.

9. A fast train covers a distance of 275.8 miles in 4 hours; a slow train, the same distance in 6 hours. Find the difference in the rate of travel.

*10. The railway distances from your town or city to others may be

found in complete railway time tables. Make a list of several of these distances and use them for problems.

*11. With the help of local rates, compare the cost of the different kinds of tickets to neighboring points of interest.

14. Great Travel Routes

1. RAILWAY ROUTES IN THE UNITED STATES

[With pencil.]

1. Two of the most traveled long-distance routes in our country are that between San Francisco and New York by way of Chicago, and that between Fort Worth, Texas, and New York by way of Kansas City and St. Louis.

With the help of the following tables, find the distance to New York traveled (1) by a carload of fruit in being hauled from San Francisco; (2) by a carload of cattle in being hauled from Fort Worth, Texas.

2. With the help of the first table, find how much longer the distance is between San Francisco and Chicago than between Chicago and New York.

3. Traveling at the rate of 30 miles an hour, how many hours are required by a fast freight to cover the distance between San Francisco and Chicago? Between Chicago and New York?

4. With the help of the second table, make and solve problems comparing the distances from one point to another.

5. A passenger train traveling at the rate of 52.6 miles an hour requires how many hours to run from St. Louis to New York?

GREAT TRAVEL ROUTES

173

*6. A train traveling at the rate of 40 miles an hour requires how many more hours and minutes to run from Omaha to New York than from Kansas City to New York?

II. ON THE GREAT LAKES

[With pencil.]

1. Great quantities of iron ore, wheat, and flour are carried through the Great Lakes from Duluth to Buffalo, and great quantities of corn and wheat from Chicago to Buffalo. Point out the routes on a map, and then, with the help of the following table, find the distance to Buffalo (1) from Duluth, (2) from Chicago.

DULUTH TO BUFFALO

CHICAGO TO BUFFALO

Duluth to the "Soo" Canal 395 mi. Chicago to the Straits of

2. How many hours are required by a steamer traveling 15.5 miles an hour to reach Buffalo from Duluth? From Chicago?

3. The railway distance from Duluth to Buffalo is 1376 miles. Compare with this, by subtraction, the length of the route by water.

4. The following table shows something of the commerce on the Great Lakes for three successive years. Find the missing items:

III. THE PANAMA CANAL

1. The Panama Canal forms what might be called a water bridge across the Isthmus of Panama. A ship entering from the Atlantic side travels 7.3 mi. and is then raised to the high part of the canal. Through this part, the ship goes 32.06 mi., is lowered, and then goes 10.6 mi. farther. What is the distance through the canal?

2. The Suez Canal is 90 mi. long. What is the difference in the length of these two famous canals?

3. Distances on land are measured by the statute mile; distances at sea, by the nautical mile, which is equivalent to 1.1516 statute miles. To reach Panama by water from New York, it is necessary to travel 1981 nautical miles. This is how many statute miles?

4. From New Orleans to Panama, the route covers 1380 nautical miles. Find the distance in statute miles.

*5. The distance from New York to San Francisco around South America is 13,244 mi.; by way of the Panama Canal, 5309 mi. A warship making 18.75 mi. per hour saves how many hours by taking the canal route? This is a saving of how many days?

15. Problem Test

[With pencil.] 1. The cost of the railway fare for a trip 150 mi. long is how much more with mileage at $.03 than with mileage at $.025?

2. The railway distance from Boston to Chicago is 1022 mi. A train traveling 51.1 mi. per hour takes how long to make the trip?

3. A warship makes the following record in 4 hours: in the first hour, 19.5 mi.; in the second hour, 21.75 mi.; in the third hour, 22.2 mi.; in the fourth hour, 22.9 mi. What is the rate of speed per hour?

4. New Jersey, which has more miles of railway in proportion to its size than any other state in the Union, had, in a recent year, 2146 mi. of railway. Its area is 8224 sq. mi. This made how many miles of railway for each square mile? For each 100 sq. mi.?

CHAPTER III. MAKING USEFUL ARTICLES

16. Review of the Fractional Part

1. Find on a ruler:

[Without pencil.]

inch, inch, of an inch, of an inch, of

an inch. Explain how each is found.

2. How is of any unit found? How is of any unit found? How is found?

ૐ,

? ?

3. What is a fraction?

4. Name and explain the meaning of the terms of the fractions

5. Change to halves; to fourths; to eighths.

6. Explain how to reduce a fraction to its lowest terms.

13. Which of the following lengths are less than an inch? Which

are equal to, or are greater than, an inch?

14. What is a proper fraction? An improper fraction? 6

15. How many inches in 15 inches? In & inches? In 17 inches?

16. What is a mixed number? How is an improper fraction changed to a mixed number?