Themes, topics - math word problems - page 87 of 174
Number of problems found: 3474
- The farmer
A farmer calculated that his fodder supply would last his 20 cows for 60 days. He decided to sell 2 cows and one third of the feed. How long will the remaining feed last for the rest of the herd? - Garden raking time
Carl would rake the leaves in the garden alone in 24 minutes. His younger brother would take 30 minutes. How long would they dig a garden if Carl digs alone for 6 minutes and his brother comes to his aid? - The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long? - A particle
A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t²-4t-4, t > 0. Initially, the particle is 8 meters from a fixed origin's right. After how many seconds is the particle at the origin? - Car perpendicular distance
How far apart would two passenger cars be after 2 hours of driving if they left the same garage on two perpendicular paths, one going at 82 km/h and the other at 104 km/h? - 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? - Bulb resistance calculation
The small bulb's socket has a reading of 6.3 V/0.3 A, 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 230 V and draws a 3.5 A current. Power consumption is 1932 kJ. How many minutes has this device been in operation? - Apple harvest calculation
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? - School plot modification
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? - Building painting time
Ten painters painted the company building in 20 days. In how many days would six painters paint the company's building? - Water temperature cooling
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 - Car pursuit calculation
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? - Car motorcyclist meeting
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 = 75 m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Circle line position
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? - Aluminum volume expansion
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.
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