Themes, topics - math word problems - page 150 of 167
Number of problems found: 3338
- Backpack carrying
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?
- Master and apprentice
Master painted the roof in 3 hours and apprenticed for 4 hours. How many roofs do they paint an hour, and how many in three-quarters of an hour?
- Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km.
- Original 2532
By using it, the machine's price fell by 37% to 104,454 euros. What was its original price?
- Machines 2
Two machines produce 2,000 products in 50 hours. How many machines do you need to buy to make 15,000 products in 30 hours?
- Workers 2
The worker dug the trench for 7 hours, and another worker for 10 hours. They recruited to work even one worker. Digging should be done for 2 hours. For how long would dig the third worker alone?
- Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin
- Two trains
Two trains go at each other. First at a speed of 40 km/h and the second at a speed of 60 km/h. At what distance will it be 30 minutes before they will meet?
- Perpendicular diameters
Draw a circle k/S; 4.5 cm/. Next, draw: a/two mutually perpendicular diameters AB and CD b/two radii SA and SE which form an angle of 75 degrees c/chord/KL/= 4 cm d/chord/MN/, which is perpendicular to KL
- Truck PRG-BA
Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. When the truck passes 54 kilometers from Prague, the passenger car departs from Prague and travels to Bratislava at a speed of 90 km/h. When and where (at what highway
- Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.
- Bronze, tin and copper
Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. It is bell metal if it contains 20% tin and 80% copper. How many tons of molten bell metal and copper are needed to make 100 tons of Gunmetal?
- Two tributaries
Two tributaries of the pool fill it in 10 hours. One of the tributaries would fill 15 hours. How long would fill the first tributary?
- Calculate 2482
The train left Košice at 2:45 PM to Poprad, 120 km away. At 5:45 PM, we met in Poprad with an oncoming train from Žilina, 140 km from Poprad. Calculate what time the train left Žilina if you know that it was 8 km/h faster than the train from Košice.
- Mr. Zucchini
Mr. Zucchini had a rectangular garden whose perimeter was 28 meters. The garden's area is filled with just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and
- Cyclist vs boat
The cyclist wants to ride a short distance by boat, but when he stops at the pier, the boat does not pick up passengers yet and is preparing to leave. The cyclist decides that the ship will catch up at the next stop. The stop is 12km far along the water a
- Truck and car
At 6h45min, the truck started at a speed of 36 km/h. At 7h30m behind it, a passenger car. Find the passenger car's average speed to catch the truck 72 km away from the factory.
- Distance between two cities
The car went from A to B in 4 hours. The car was up 15 km/h faster on the way back. The return trip took 48 minutes shorter than the way there. Find the distance of cities A and B.
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