Time + prime numbers - practice problems
Number of problems found: 72
- Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - Planetary system
Robert has built a mechanical model solar system with three balls representing planets at the end of rods. Each rod is attached to the center, representing the Sun. The planets are lined up when he turns on the motor. The innermost planet makes a revoluti - Ronald 2
Ronald and Tim both did their laundry today. Ronald does laundry every 6 days, and Tim does laundry every 9 days. How many days will it be until Ronald and Tim both do laundry on the same day? - Jackie 2
Jackie bought an equal number of tulip bulbs and daffodil bulbs. Along the length of her garden, Jackie planted 6 daffodil bulbs and 3 tulip bulbs per foot. She has 5 daffodil bulbs and 29 tulip bulbs remaining to plant elsewhere. How long is Jackie's gar - Composition 83241
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - Condition 83228
Three boys Ivo, Vlado and Alan are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Alan - Morning 82968
The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh - Calculate 81492
Jirka went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if Jirka drove at - Completes 80460
Three soldiers share a guard in the barracks. The first guard completed his errand in 8 minutes, the second completed his circuit in 10 minutes, and the third soldier completed his circuit in 12 minutes. How long before the three of them meet again if the - Owl A,B,C
Owl a gives a hoot every 7 minutes. Owl b gives a hoot every 9 minutes. Owl c gives a hoot every 5 minutes except when he has heard owl a or b give a hoot within the previous 2.5 minutes. If this happens, owl c doesn't give a hoot. If all three owls give - Situation 78694
There is a geyser and a volcano in a nature reserve in Iceland. The geyser erupts regularly every 18 days, and clouds of smoke rise from the volcano every 40 days. how many times in the course of 9000 days will there be a situation where we can observe bo - Steamers 67804
Two steamers set out on a voyage from the same port. The first steamer returns to port every fourth day, and the second steamer returns every fifth. How many days do they meet again? - Increased 64324
The number of books in the city library increased by 0.2% in 2008 and 0.6% in 2009. At the same time, the total number of books remained less than 300,000. How many books were added to the city library in 2009? - Marie-Pier
Marie-Pier, Frédéric, and Simon bump into each other in the street on a Tuesday while the three of them are running. Marie-Pier trains every three days, Frédéric every four days, and Simon every Tuesday. If they all keep up with their training pace, in ho - Regularly 54301
Tonda, Emil, and Patrik go to the gym regularly. Tonda visits the gym every third day, Emil every fifth day, and Patrik every ninth day. How often does everyone meet at the gym? - The drama club
The drama club meets in the auditorium every six days, and the choir meets there every five days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium? - Part-time workers
On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked in the first field, 60 in the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e - John Smith
John Smith is reading a 435-page novel. If he reads the same number of pages per day and the number is a prime number greater than 10, how many pages per day will he read? - Together 40541
The first bus leaves every 10 minutes, the second every quarter of an hour, and the third every 18 minutes. At noon, all three lines left together from the station U Kachny. At what time did all the lines go again at the same time? - Together 36443
Three buses are leaving the bus station. The circuit of the first bus lasts 1 hour, 24 minutes, the second 150 minutes, and the third 2 hours. When will they leave together?
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