Time + reason - math problems
Number of problems found: 213
- Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do 7 workers earn in 10 days with the same daily average salary?
- Birthday paradox
How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
- 3 pupils
3 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 eq
- 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 5 years. How many children are there in this family?
- The orchard
4 temporary workers harvested the orchard in 9 days. How many temporary workers we need for six days?
There are two leaders in the tourist group, with an average age of 30 years and several children with an average age of 10 years. The total age of the group is 12 years. How many children are in the group?
- Beet campaign
The beet's field is being harvested. Beets are transported to 3 plants, 3 trucks. The first car returns to the field 3 times an hour, the second car after 30 minutes, and the third car 5 times an hour. All cars left at 8 in the morning. How many cars do w
- 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 two engines of the aircraft are enough to supply the fuel for five hours of operation. However, one of the engines has a malfunction 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
- 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, 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 bottle.
- Harvest time
Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants 10 days after 6 hours of work a day. Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in c
- Three lines
At 6 am, three bus lines are departing from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as t
- The escalator
I run up the escalator at a constant speed in the stairs' direction and write down the number of steps A we climbed. Then we turn around and run it at the same constant speed in the opposite direction and write down the number of steps B that I climbed. I
- 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7, 11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
The twins Nina and Ema have five years younger brother Michal. Together have 43 years. How old is Michal?
- The tourist
The tourist traveled 78km in 3 hours. Part of the journey went on foot at 6km/h, the rest of the trip by bus at 30km/h. How long did he walk?
- Brothers and sister
I have 4 brothers. My mother was 22 years old when the oldest Maroš was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. 3 years before Ivan was born Hugo and he is 2 years older than me. I am now 12 years old. H
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