# Algebra - problems - page 9

1. Tourists From the cottage started first group of tourists at 10:00 AM at speed 4 km/h. The second started after them 47 minutes later at speed 6 km/h. How long and how many kilometers from the cottage will catch the first group?
2. Salary raise Monthly salary was 2390 Eur. During the year it was raised to 2617 Eur. Calculate the month from salary was increased that employee earned 29361 Eur during whole year.
3. Recursion squares In the square ABCD is inscribed a square so that its vertices lie at the centers of the sides of the square ABCD.The procedure of inscribing square is repeated this way. Side length of square ABCD is a = 22 cm. Calculate: a) the sum of perimeters of all
4. Garden Father dig up the garden in 9 hours. Son in 13 hours. How many hours take dig up the garden together?
5. Plums In the bowl are plums. How many would be there if we can divide it equally among 10, 12 and 14 children?
6. Rhombus 2 Calculate the area of rhombus which has a height v=48 mm and shorter diagonal u = 60 mm long.
7. Profitable bank deposit 2012 Calculate the value of what money lose creditor with a deposit € 9500 for 4 years if the entire duration are interest 2.6% p.a. and tax on interest is 19% and annual inflation is 3.7% (Calculate what you will lose if you leave money lying idle at negative
8. Ships At 8:40 the ship set sail at 12 km/h. At 19:10 followed by at 29 km/h sail boat. When sail boat catches up the ship? How many minutes will catch up took?
9. Leg and height Solve right triangle with height v = 9.6 m and shorter cathetus b = 17.3 m.
10. Number ratio Calculate two positive numbers that its ratio is 6:6 and difference was 0.
11. Circle How big is area of circle if its circumference is 80.6 cm?
12. I think number I think number.When I add 841 to it and subtract 157, I get a number that is 22 greater than 996. What number I thinking?
13. Ratio 6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
14. Team The football team has 11 players. Their average age is 20 years. During the match due to injury, one player withdraws and the average age of the team is 18. How old was injured player?
15. Diofant 2 Is equation ? solvable on the set of integers Z?
16. Plumber Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it?
17. Parquet floor Three workers laid parquet floor for 2.9 hour. The first one would do this work alone 9 hours, the second in 7 hours. For how many hours would fulfill this work the third worker, if he worked alone?
18. Seedcake Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros? During the spring cleaning ladies going to wash windows. Mother takes wash all the windows 5 hours, the grandmother 3 times longer and Paula wash all windows in 2 hours. How many hours will spend washing the windows this "women's team" if working togethe Right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c?