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pathetic_26

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1. Train A leaves a station 1/2 hour ahead of train B. The trains travel on parallel tracks. Train A travels at 25 kilometers per hour while train B travels at 35 kilometers per hour. How many hours will it take train B to overtake train A?

2. Mr. A. and Mr. B., driving their respective cars left the same place. Mr. A went north and Mr. B went south. Mr. A. drove at 50 kilometers per hour while Mr. B. at 60 kilometers per hour. In how many hours were Mr. A and Mr. B 120 kilometers apart?

3. When Prof. X drives his car to school, the trip takes one hour. When he takes cab, the trip takes 1 hour and 15 minutes. The speed of the cab is 10 kilometers per hour less than Prof. X's speed when driving. Find the distance that he travels to school.

4. Three hundred people attended a band concert. Reserved seat tickets were sold at $100 each while general admission tickets cost $60 each. If the sales totaled $26,000, how many tickets of each type were sold?

5. Mark can finish a task alone in 24 days while Andrie can do the same task in 18 days. If they work together, how long can they finish the task?

6. How many milliliters of water must be added to 240 milliliters of a 25% sulfuric acid solution to reduce the percentage of sulfuric acid in the new solution to 10%?

7. How many liters containing 8% acid should be added to 20 liters containing 60% acid in order to obtain a 40% acid solution?

8. In a NBA Basketball game, team X scored a total of 95 points. The team made five 3-point baskets. The number of the team's field goals (2 points each) is twice the number of free throws (1 point each) they made. How many free throws and how many field goals did the team make?

9. A children's playground is rectangular. The length is three times its width. If the perimeter is 504 meters, what are the dimensions of the playground?

10. The larger of two integers whose sum is 86, divided by the smaller, gives a quotient of 5 and a remainder 10. Find the numbers.

11. The sum of the digits of a two-digit number is 7. When the digits are reversed the resulting number is 27 more than the original number. Find the original number.

12. A variety of candies costing 10.50cents per kg is mixed with another variety costing 15cents per kg, to make a mixture of 12 kg that would cost 12.50cents per kg. How many kg of each variety were mixed?

13. How many liters of alcohol must be added to a mixture of 15 liters containing 6-% alcohol, to get a mixture containing 80% alcohol?

14. Mr. Smith, working as a salesman for a firm, gets a salary of $5,000 per month plus a commission of 10% on all sales above $2,000,000 per month. His total gross pay last month was $21,000. How much was his total sale last month?

15. A class will perform an experiment wherin they will need a solution of 160 cubic centimeters that is 12% hydrochloric acid. If the laboratory storeroom has only solutions containing 20% and 10% hydrochloric acid, how much of each available solution should be mixed to obtain the desired solution containing 12% hydrochloric acid?

16. Mr. Jackson invested a sum of money at 4% simple interest and another sum which is $100,000 more than the first sum, at 5%. The annual income from the two investments is $17,000. How much was Mr. Jackson's investment at each rate?

17. Mr. Sales invested $800,000 partly at %% simple interest and the rest at 10%. The amount of interest per year is the same as the amount of the interest he would receive by investing the entire $800,000 at 8.75%. How much did Mr. Sales invest at each rate?

18. A church congragation has $20,000 to be invested in a fund, part at 3% and part at 7%. If the investment at 7% earns $500 more per year than the other placement, how much is invested at each rate?

19. A man invested $35,000 partly at 15% and the rest at 18%. The total income from the investments is $5,650. Find the sum invested at each rate.

20. After her vacation in Mexico, Grace found some coins under her pillows. There were equal numbers of one peso coins and five peso coins. The number of twenty-five centavo coins was twice that of one peso coins, If the total value of the coins was P39.00, how many of each denomination did she find?

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