Time + reason - practice problems - page 5 of 19
Number of problems found: 379
- Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%?
- Reconstructing 23991
Three groups take turns reconstructing one piece of highway. The first group would finish the job themselves in 40 working days. The second group is in 24 working days, and the third group is in 30 working days. How many days do you do it together?
- 3 pupils
Three pupils cleaned 10 meters of the stream in 1 hour. How many meters of the stream will clean 18 students in 4 hours?
- Quiz or test
I have a quiz with 20 questions. Each question has four multiple-choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to ; 1 = C, then it will always be e
- Together 23211
Lenka is three times younger than her brother Lukas; they are 20 years old. How old is Lenka, and how many are Lukas?
- Large family
The average age of all family members (children, mother, father, grandmother, grandfather) is 29 years. The average age of parents is 40 years, grandparents 66 years, and all children are five years. How many children are there in this family?
- The orchard
Four temporary workers harvested the orchard in 9 days. How many temporary workers do we need for six days?
- Timetable 20313
The train ran the distance between stations at a 90km/h speed in 4 hours. What speed can it take if the journey takes an hour longer according to the new timetable?
- Troops
The tourist group has two leaders, with an average age of 30, and several children, with an average age of 10. The total age of the group is 12. How many children are in the group?
- Inspectors 19633
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
- Beet campaign
The beet field is being harvested. Beets are transported to 3 plants and three trucks. The first car returns to the field three times an hour, the second car after 30 minutes, and the third car five times an hour. All cars left at 8 in the morning. How ma
- The tourist
The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re
- Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma
- Fast tourists
If three tourists pass the route in 5 hours, how long will the same route take six equally fast tourists?
- Magnitude of angle
What magnitude has an obtuse angle enclosed by the hands of clocks at 12:20 hours?
- Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo
- Return 15193
Fiona sets off from the tower after Shrek at 9:10 at a speed of 6 km/h. Shrek starts to meet her from the swamp at 9:50 at a speed of 4 km/h. At 10:50, they meet and return back to the swamp at a speed of 4 km/h. What time does he arrive at the swamp?
- Harvesters 14703
Five combine harvesters shit in 12 days. How long does a 2-fold larger field of combine harvesters take?
- Newspapers 13781
Ten machines produced newspapers in 18 hours, and two machines rang for 2 hours. Thus, the production took 18 hours.
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