Algebra - math word problems - page 250 of 312
Number of problems found: 6224
- Variation element increase
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Divisible by five
How many different three-digit numbers divisible by five can we create from the digits 2, 4, and 5? We can repeat the digits in the created number. - Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations): - Boiler room
If only the first boiler is running, the coal supply lasts 8 days. If only the second boiler is running, the supply lasts 12 days. If only the third boiler is running, the supply lasts 6 days. How many days in total will the coal supply last if only the f - Bus car pursuit
At 7:30 AM, the bus left at a speed of 45 km/h, and at 8:00, a car behind it started at 65 km/h. Where and when did they meet? - Highway construction weeks
The first group of construction workers would build a certain section of highway in 15 weeks, and the second group would make it in 10 weeks. After four weeks of working together, the second group was dismissed, and only the first group continued to work. - Platinum temperature coefficient
The resistance of a platinum wire at a temperature of 20 °C is 20 Ω, and when heated to 500 °C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum - Bucket tap filling
A bucket is filled by one tap in 4 minutes and by another tap in 3 minutes. How many minutes will it take to fill 5 buckets if both taps run simultaneously? - Last wagon
A 200 m long train passes through the 700 m long tunnel so that a time of 1 minute elapses from the entry of the locomotive into the tunnel to the exit of the last wagon from the tunnel. Find the speed of the train. - Your Mom
Your Mom can clean your entire house in 3 hours. However, your dad takes 5 hours to clean the house. How long will it take for them to clean the house if they work together? (Write the numerical answer round to the nearest thousandth) - The stadion
John can run around a circular track in 20 seconds and Eddie in 30 seconds. Two seconds after Eddie starts, John starts from the same place in the opposite direction. When will they meet? - Bottle filling calculation
We filled 90 liters of must into bottles, some with a volume of 1 liter and some with a volume of 1.5 liters. Thus, we have a total of 70 bottles of must. How many bottles of each species did we fill? - Tractor plowing calculation
Tractor operator Formánek can plow Mr. Kafka's land in 30 hours using a plowing set with a four-blade plow. The tractor driver Divíšek, plowing with a five-blade plow, can plow Kafka's land in 24 hours. In how many hours will the two tractor drivers plow - Two machines
The first machine can produce parts in 24 hours, and the second can produce parts in 16 hours. The first started working at 6:00 p.m., and the second at 10:00 a.m. At what hour were all the parts made? - Pool pump filling
They have a swimming pool in the schoolyard. The smaller pump fills in 7.5 hours, the medium in 5 hours, and the large in 3 hours. How many hours will it take if all three are turned on simultaneously? - Hammer fall height
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ? - Three tributaries
It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fi - Journey Times Two Parts
The journey to Ed and on to the course takes 26 minutes. How long does the journey to Ed take when the trip from Ed to the playground is 4 minutes longer than the journey from the house to Ed? - Construction of the road
Six trucks are supposed to be transported for 18 days to construct the road dam. After three days, the transport company sent two more cars to the construction site. How long will it take to carry the material? - Uniform Acceleration Initial Speed
The body went through a uniformly accelerated path of 30 m in 10 seconds while its speed increased five times. Find the initial speed and acceleration.
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