# Mean - problems

1. Uphill and downhill The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist?
2. Temperature change The mean temperature change is -3.2°F per day for five days. What is the total change over the five day period?
3. Centroid - two bodies A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravit
4. Carpenters Carpenters 1 and 2 spend 10 days and 5 days respectively to make one table. If 50 tables were made by the first carpenter and 30 tables were made by the second carpenter, What is the average time spent on the products?
5. MG=7x-15, MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
6. Midpoint 6 FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
7. Find midpoint FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
8. Ten cashiers Ten cashiers are open at Tesco. Customers wait an average of 15 minutes. How many other cashiers have to open to reduce the waiting time by 4 minutes?
9. Water Mix 21 l of water with temperature of 38 °C, 67 l warm of 34 °C and 14 l water of 32 °C. What is the temperature of the mixed water immediately after mixing?
10. Daily average Calculate the average temperature during the day, when 13 hours was 22 °C and 11 hours was 17 °C.
11. RBA Regional Building Authority has an annual budget of EUR 1806814. In previous calendar year has processed 804 approval procedures. How much does an average of one building approval costs (eg unsuccessful revoke)?
12. Center Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].
13. 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?
14. Speed of Slovakian trains Rudolf decided to take the train from the station 'Trnava' to 'Zemianske Kostoľany'. In the train timetables found train R 725 Remata : km0Bratislava hl.st.12:574Bratislava-Vinohrady13:0113:0219Pezinok13:1213:1346Trnava13:3013:3263Leopoldov13:4514:0168H
15. Report card Ivor hit 5× grade 5 at the beginning of the school year. How many times must now catch grade 1 to get grade 2 on report card?
16. Mailbox Mailbox is opening at regular intervals 3 times a day. The first time is opened at 8:00 and the last at 19:00. Calculate hours when mailbox is opened during day.
17. AVG of INT What is the average of the integers from 9 throuht 52 inclusive?
18. Balance The rod are 1.9 m long hanging weights 4 kg and 1 kg on ends. Where are centre of rod (distance from weight 4 kg) to be in balance?
19. Certificate There is 31 students in a class. From mathematics was'nt worse mark than 2. Average mark in mathematics was 2. How many students have mark 1 and how many mark 2?
20. Average What is the average speed of the car, where half of the distance covered passed at speed 66 km/h and the other half at 86 km/h.

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