Unit conversion - practice for 14 year olds - page 7 of 30
Number of problems found: 593
- Water mixing
We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C? - Distance 20493
A snail emerges from the leaf at a speed of 1 cm/min. At the same time, an ant rushes towards it from the stone at a speed of 5 cm/min. The distance between the leaf and the stone is 1.2 meters. How soon will they meet, and at what distance? - Motorcyclist 7274
At noon, a cyclist left Šumperk for Olomouc at a speed of 20 km/h. 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? - Acceleration 4211
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last?
- Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - On the
On the map of Europe made at 1:4000000, Bratislava and Paris' distance is 28 cm. At what time will an airplane flying 800 km/h fly this journey? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - Car and cyclist
The cyclist started from town at a speed of 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was a car?
- Car
At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.) - Ships
At 8:40, the ship set sail at 12 km/h. At 19:10 followed by 29 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake? - Packaging 32643
The packaging of Horalka says A wafer with peanut cream filling (72%) in cocoa icing. How many kg fills them together in 1 package, which contains 56 pieces of this wafer, if one weighs 50 g? - Two airports
Two airports are 2690 km away. From the first airport, the airplane flies at a speed of 600 km/h, and from a second airplane at a speed of 780 km/h. When will they meet if they fly at 10:00? How far from the first airport? - 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?
- Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds. - Fruit juice
Fruit juice contains 37.5% sugar. How much percent of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg) - Antelope 4440
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running? - Lead melt
Find the heat needed to melt an object made of lead weighing 250g and an initial temperature of 35°C. Lead melts at 327°C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg. - Tunnel
Kubo sits on a train speeding at 108 km/h. At that moment, the train entered the tunnel, which according to Kub's book, was 2 km long. Kubo noticed that the end of the train had left the tunnel 75 seconds later than the locomotive had entered the tunnel.
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