Themes, topics - math word problems - page 112 of 174
Number of problems found: 3477
- Two Inlets Fill Time
The water tank is filled with the first inflow in one hour and 10 minutes and the second in 60 minutes. How many minutes will the tank be half-filled with both inlets if the second outlet is opened 12 minutes later? - Computer task time
In a computer center, one computer would work 12 hours to solve a task, and another, more powerful, would solve the same task for 10.5 hours. If both computers work together, the calculation time would be reduced for a certain period. Calculate how long i - The factory
The factory z can complete an order in 12 days, and factory p can complete it in 18 days. How many days does an order complete when the first two days work only the factory z and then both factories? - Two Tractors Field Time
One tractor driver would mow the field in 15 hours. Another tractor driver would do the same job in 12 hours. How long will it take them to do the work together if the latter starts plowing two hours later than the former? - Water reservoir
One drain hole emptied the water from the tank for 20 hours, with the second drain for 30 hours. How long will the water drain from this tank if we open two drains simultaneously? - Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed? - Inequality proof
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - Hiker Path Lengths
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km - Letter puzzle In the following additional example, the same letters represent the same digits, and the different letters represent different digits: RATAM RAD -------------- ULOHY Replace the letters with numbers so that the example is correct. Find two different repla
- Two Workshops Joint Work
In one workshop, they will do the given work in 15 days; in another workshop, where more members work, they will do the given work in 10 days. After three days of joint work, only the larger workshop continued the assigned work. In how many days will he f - Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove. - Digit puzzle Four cards each showed a different digit, one of which was zero. Victor formed the largest four-digit number from the cards, and Martin formed the smallest four-digit number. Adam wrote the difference between Victor's and Martin's numbers on the board. Th
- Distance time
The cyclist covered a certain distance in 9 hours. How many hours does a car need to travel four times more if it moves three times faster? - Distances
On the way from Bratislava to Trebišov (440 km), 2 cars set off toward each other. The car from Bratislava set off at 8:00 a.m. and the car from Trebišov at 9:00 a.m. They met at 11:00 a.m. The car from Trebišov travelled 25 km less per hour than the othe - Harvesters
The first harvester will harvest the grain from the field in 20 hours, and the second, the more powerful, will harvest it in 10 hours. How long will it take for both harvesters to harvest this field if the second harvester has to be set up first, which ta - Grandparents
Grandfather set aside €1,200 for savings. At the beginning of each month, he deposited €100 into the bank at an annual interest rate of 3%. At the end of the year, he had €1,219.68 in the bank. Grandma immediately deposited the entire amount of €1,200 int - Card expression Tomas received nine cards with the following numbers and math symbols for math olympiad results. 18, 19, 20, 20, +, -, x, (,) Note 4 numbers and operators plus, minus, times, left parenthesis, right parenthesis. He stored the cards so that there were neve
- Sowing equipment Farmer Jadrný sowed wheat in autumn with a large sowing equipment and rye with a small sowing equipment. The area of all fields sown with wheat in 7.5 h was twice as large as the area of all fields sown with rye in 6 h. The sum of the areas of all fields
- Motorcyclist and cyclist At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist?
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
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