Algebra - math word problems - page 231 of 312
Number of problems found: 6224
- Thermal energy
From the formula for calculating thermal energy Q=m*c*t, express t and calculate by how many °C 2 kg of water must be heated to increase its energy by 126 kJ - Coil resistance temperature
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14 °C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10-3 1/K. - Rocks 2
A garden center has one type of rock that sells for $6.50 per cubic yard and another type of rock that sells for $12.80 per cubic yard. They want to make 25.2 cubic yards of a mixture of rock that sells for $12.40/cubic yard. How much of each rock will th - The aluminum
An aluminium object weighing 0.80 kg at 250 °C is placed in 1.6 kg of water at 23 °C. What is the equilibrium temperature of the system? Assume that heat exchange occurs only between the aluminium object and the water. The specific heat capacity of alumin - Boy bicycle pursuit
A boy leaves school at a speed of 1 m/s. At the moment, when he is 100 m away from the school, a classmate on a bicycle comes behind him at a speed of 5 m/s. How long and how far does the boy run from school? Solve by calculation and graphically. - Pedestrian cyclist meeting
A pedestrian walked from Tábor to Veselí nad Lužnicí at a speed of 6 km/h. At the same time, a cyclist rode in the opposite direction at a speed of 24 km/h. The distance between the cities is 36 km. How long and far from Tábor will the pedestrian and the - Order 2
Two production lines are available to fulfil an urgent order. The original line can produce the required goods in 15 hours, while the newer line, which has not yet been started up, could have the goods ready in 10 hours. The original line can be launched - Draining a tank
A tank can be drained using two outlets. The larger outlet alone drains the tank in 8 hours, the smaller outlet alone in 10 hours. At the last drainage, both outlets should have been open, but the shut-off of the larger outlet got stuck and was only opene - Meeting speed calculation
Adam and Eve live 20 km apart. They are going to a meeting. Adam moves at a speed of 2 km/h faster than Eve. They will meet in one and a half hours. Determine their speeds. - Moped speed calculation
The road from Brno to Hodonin is 60 km long. Helen left Hodonin at a speed of 4 km/h, and at the same time, Jonas left Brno on a moped for her. What was the moped's speed if Jonas and Helen met in 1 hour and 30 minutes? - Two cities
Cities A and B are 200 km away. At 7 o'clock from city A, the car started at an average speed of 80 km/h, and from B at 45 min later, the motorcycle started at an average speed of 120 km/h. How long will they meet, and at what distance from point A will i - 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? - Motorcyclist
From Trutnov, the motorcyclist started at an average speed of 60 km/hour. At 12.30hrs, Peter began driving the passenger car at 80 km/hour. How many hours and at what distance will a car catch a motorcycle from Trutnov? - Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - Cyclist meeting
Trenčín is 120 km from Bratislava. The average speed of a cyclist traveling from Trenčín towards Bratislava is 20 km/h. Calculate the average speed of the passenger car that left Bratislava compared to the cyclist if the cyclist and the passenger car left - Aircraft speeds
Two planes take off simultaneously from airports A and B, fly towards each other, and meet in 20 minutes. The distance between the airports is 220 km, and the average speed of the aircraft flying from airport A is 60 km/h more than the average speed of th - Cheetah speed
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? - Coal consumption
The locomotive consumes 22 kg of coal when climbing per kilometer. It consumes 10 kg when descending or driving on a flat surface per one kilometer. The line is 62 km long, and coal consumption on this line was 800 kg. How many km of the climb was there o - Motorcycles on autodrome
Three racing motorcycles drive at different speeds on the autodrome. One motorcycle can go around the circuit in 2 minutes, the second in 4 minutes, and the third in 7 minutes. If all three bikes enter the race track simultaneously, how long before they a - Car catching up
In the direction of Hradec Králové, a car left Prague at 8 hours at a 50 km/h speed. At 8 hours and 30 minutes, another car followed him at an average 70 km/h speed. How long will it take to catch up with the first car?
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