EXERCISE 38

The mileage and valuation by counties in Texas of the St. Louis and San Francisco Railway as given by the Texas Railroad Commission for the year 1906 are as follows:

Find the valuation per mile in each of the above counties. 8. On July 16, 1907, a contract for paving Broadway, Denver, Colorado, was awarded on the following itemized specifications and prices:

3,050 ft. 6" x 18" stone curb @ $ 1.05*

REDUCTION OF FRACTIONS TO DECIMALS AND REDUCTION OF DECIMALS TO FRACTIONS

Divide numerator and denominator by 1,000 by moving the decimal point three places to the left; then divide the numerator by 8.

A fraction in its lowest terms having for denominator a number whose prime factors are 2's or 5's or both can always be exactly expressed as a decimal.

A fraction in its lowest terms having for denominator a number containing prime factors other than 2's and 5's will give rise to a decimal which never terminates.

Example 1. Reduce .0625 to a common fraction. .0625 is read 625 ten-thousandths; 825 is read in the same

1. A man walks 3 miles an hour. At this rate, how long will it take him to walk 12 miles?

2. A train goes 25 miles an hour. How long will it. take it to go 300 miles at this rate?

3. A bicyclist travels at the rate of 9 miles an hour. How long will it take him to go 60 miles?

4. How would you find the time to go any given distance, if you knew the distance gone in a unit of time?

5. A man walks 3.5 miles an hour. At this rate, how long would it take him to go 49 miles?

6. The distance from London to Glasgow is 401.5 miles. An express train goes this distance in 8 hours. Find its rate per hour.

7. From London to Edinburgh is 393.5 miles. The daily mail train takes 7.75 hours to go this distance. Find its rate per hour.

8. The Empire State Express goes from New York City to Buffalo, a distance of 440 miles, in 8.25 hours. Find its rate per hour.

9. The mail train from Paris to Bayonne goes 486.25 miles in 8.983 hours. Find its rate per hour.

10. The distance from New York City to Cleveland is 568 miles. A train goes this distance in 19.5 hours. Find its average speed.

11. A steamer goes from New York City to Bremen, a distance of 4235 miles, in 7.75 days. Find its rate per day. Also its rate per hour.

12. The earth moves in its orbit at the rate of 1110 miles a minute. How many times faster does the earth move than a train which goes 54 miles an hour?

13. A city lot is worth $1800. If this sum is .75 of the value of the house on it, what is the value of the house? 14. If .7 of a sum of money is $196, what is the sum of money?

How

15. Cast iron is 7.2 times as heavy as water. many cubic feet of cast iron weigh as much as 6120 cubic feet of water?

How many

16. Coal is 1.3 times as heavy as water. cubic feet of coal weigh as much as 546 cubic feet of water? 17. There are 231 cubic inches in a gallon. How many gallons are in 1 cubic foot? (1 cu. ft. 1728 cu. in.)

18. If 2000 pounds of coal cost $8.75, find the price of 8750 pounds of this kind of coal.

19. If 3.5 yards of cloth cost $12.25, find the price of 7.5 yards of this cloth.

20. If 1.6 yards of velvet cost $2.88, find the price of 9.75 yards of velvet.