Themes, topics - math word problems - page 142 of 160
Number of problems found: 3188
- Sebastian
Sebastian walks at 6 km/h starting at 8:00 from Kovalov toward Kuty. From Kuty, the godfather drives at 50 km/h and starts at 8:30. The distance is 24 km. When and where will Grandfather take Sebastian to the car?
- Technical 2617
Pupils work in groups of two on technical work in the school to make a birdhouse. If Tomáš worked alone, he would make the booth in 4 hours. Richard would do it in 2 hours. If they work together, how many hours will it take them to complete it?
- Vegetable 2616
Danka was supposed to dig a vegetable patch in the garden. She would have carved it in 1.5 hours if she had worked alone. If her sister Hanka were to cut it alone, she would carve it in 0.75 hours. How long would it take them to weed the garden together?
- Boots
Master shoemaker has three apprentices. First, do one pair of boots for two days, second for one day, and third for 1.5 days. How long would it take to make a couple of boots if they worked together?
- O'clock 2614
One pump fills the school pool in 15 hours. The school bought another pump that would fill the pool in 10 hours. What is the latest time to start filling the pool if they want to have it filled at eight o'clock in the morning and use both pumps?
- Forgets 2612
It happens to Dorothy that when filling the bath with water, she forgets to put a plug in the drain. The bath would fill up in 20 minutes if the drain were blocked. A full tub would be emptied through the drain in 30 minutes. How long will it take Dorothy
- Novak
Novak needed to dig up three of the same pit in the garden. The first pit was dug father alone for 15 hours. His second dig son helped him, and it did that in six hours. The third pit was dug son himself. How long does it take him?
- Cyclist
The cyclist rode two-fifths of the way the first day. On the second day drove 5 km less while traveling three-eighths of the route. How many kilometers does he have to finish the target?
- Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].
- Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist?
- Outer contact of circles
Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contacts. Calculate the perimeter of the triangle S1S2S3.
- Trucks
The truck takes you some amount of clay in 30 hours. The second truck takes the same amount of clay in 40 hours. Trucks carted the clay away some time together, then the second truck broke down, and the first one completed the job in five hours. What time
- Two-fifths 2589
The cycling stage rises on two-fifths of the length of the route and decreases to 2/8. The rest of the stage is flat. How many km does the stage measure if the ascent is 4 km longer than the descent?
- Isosceles 2588
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that
- Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t
- Welders
The welder does the job for six hours, the second one for 8 hours. How long do the job third welder, if all together can do the job in 2 hours?
- Backpacking 2579
Aleš, Karel, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Karel carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the second s
- Simultaneously 2570
Two cyclists will set off simultaneously from one place on the circular cycling track. How long before they meet? Do you know that Karel will drive in 6 minutes and Laco in 10 minutes?
- Intersections 2557
How many intersections do circles with radii of 10 cm and 6 cm have if the distance between their centers is 3 cm?
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