Algebra - math word problems - page 226 of 302
Number of problems found: 6040
- Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9? - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Motorcyclist 20473
The cyclist leaves place A at a speed of 25 km/h. A motorcyclist rides against him at a speed of 55 km/h. The distance between places A and B is 60 km. When and where do I meet? - 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? - Traveling 12371
Behind a cyclist traveling at an average speed of 20 km/h, he left the same place 2 hours later than a passenger car at an average speed of 60 km/h. How long and at what distance will the passenger car catch up with the cyclists? - Hrebienok 7856
A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00? - Kilometers 5972
Pavlina went on a trip on a hiking trail at an average speed of 4 km/h. Dalibor followed her an hour later and hurried at a speed of 7 km/h. How many kilometers does Dalibor cover before he catches up with Pavlina?
- Traveling 4124
A truck with a bulky load left the factory at 8:30 a.m. at an average speed of 20 km/h. At 9 a.m., a car drove up behind him, traveling at an average speed of 60 km/h. What time will the truck catch up? - Passenger 2690
The express train set off from city A to city B at an average speed of 100 km/h. At the same time, a passenger train departed from city B to city A. The trains met after 90 minutes. Calculate the average speed of a passenger train if the distance between - Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s) - Speedboat 3189
At 12:15, a train speeding 55km/h left the station. Twelve minutes later, an 80km/h speedboat set off behind the train. What time does the express train catch up? How far from the station? - Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80. - On a bicycle 5
Klára left Hořické náměstí on her bicycle and rode to Hradec Králové at an average speed of 20 km/h. Jenda left the same square on his bicycle 15 minutes after Klára left and moved in the same direction as Klára at an average speed of 30 km/h. How long di - Train 2
A metro train moved between neighboring stations in such a way that it gradually accelerated and in 10 seconds reached a speed of 70 km/h. It then traveled at this speed evenly for 35 seconds. Finally, it slowed down for 15 seconds until it stopped. Draw - 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.
- A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20cm. The length of the billet is 1m. Determine the force exerted by the hand at the end of the billet. - Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the - Daughter 82977
The ages of the father, mother, daughter, and son are in the ratio 11:9:3:2. The mom is 36 years old. What is the sum of their ages? - Performance_ 82318
The dance troupe has 24 members. How many equal-sized groups of dancers can he divide into during a performance_ - Arithmetic 81808
An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
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