Themes, topics - math word problems - page 84 of 168
Number of problems found: 3346
- Digging
The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together? - Closed circuit
There is a voltage source with U1 = 12 V in a closed circuit and with internal resistance, R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω. Find the electric current and terminal voltage. - Seven
Seven dwarfs will cut 420 stumps in 15 hours. After five hours, the two dwarves disappear discreetly. How many hours will the remaining dwarves complete the task? - Temperature 22861
The small bulb's socket has a reading of 6.3V/0.3A, which applies to its filament when the bulb is on. Determine the electrical resistance of the fiber under the given condition (the temperature of the fiber corresponds to about 2800°C) - Short-circuit and fuse
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Find: 1. source terminal voltage, 2. the internal resistance of the source, 3. maximum short-circuit cur - Energy consumption
The device is connected to 230V and draws a 3.5A current. Power consumption is 1932kJ. How many minutes has this device been in operation? - Approximately 22313
Four friends working at approximately the same pace took part in the summer brigade, harvesting apples. They peeled 68 boxes of apples in the morning. How many friends would they have to call for help if they robbed 187 crates in the same amount of time? - Students 22293
Eight pupils modified the school plot in 2 hours. How many students do we have to send to modify the school grounds if we do not want to exceed the 1.5-hour limit? - Company's 22283
Ten painters painted the company building in 20 days. In how many days would six painters paint the company's building? - Approximately 22253
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Pardubice 22123
At 1 p.m., a Škoda Felicia drove from Pardubice to Kolín at a speed of 60 km/h. Half an hour later, a Škoda Oktavia drove the same way at a speed of 80 km/h. When will Oktavia catch up with Felicia? - Motorcyclist 22103
The distance from Olomouc to Brno is 77 km. At 4:00 PM, a passenger car left Olomouc for Brno at an average speed of 100 km/h. Half an hour later, a motorcyclist drove from Brno to Olomouc at an average speed of 80 km/h. What time do they meet? - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Distance 22043
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called? - Temperature 21973
The aluminum container has an internal volume of 0.75 l at 20 °C. How does this volume change if the temperature increases by 55 °C? A = 24.10-6 1/K. - Movement 21953
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3m track. We will use a fixed pulley. What is the pulling force on the free end of the rope? - Cooker
A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces do in 2 minutes? - Determine 21903
A truck left place A at 8:00 a.m. at a speed of 60 km/h. From place B, which is 225 km from A, a car drove towards it at a speed of 90 km. Determine when and how far from place A the vehicles meet. - Distance 21883
The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Length 21863
The steel wire (α = 11.5. 10-6 1/K) has a length of 100 m at -15 °C. Find its length at 45 °C.
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