Algebra - math word problems - page 228 of 312
Number of problems found: 6224
- Swing equilibrium calculation
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest. - Vehicle meeting calculation
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both - Car meeting calculation
At midnight, a 40 km/h truck will leave České Budějovice for Turnov. At 1.5 hours after midnight, a 70 km/h car drove against him. The distance between České Budějovice and Trutnov is 223 km. At what time and how far from Trutnov will the two cars meet? - Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1 m B) 1 s? - Home cleaning
Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he - Plane meeting
Regular planes fly between the two airports 690 km away. The aircraft takes off from the first airport at 6:30 am at an average speed of 60 km/h faster than the aircraft taking off at 7.00 am from the second airport. The planes always meet at 9.00 am. At - Dog chase
While hunting, the dog sees a hare in the bushes 20 meters ahead. The hare starts running, and the dog starts chasing it simultaneously. A hare runs at a speed of 39 km/h, and a dog at 45 km/h. In how many seconds does the dog catch up with the hare? - Original route
A walker who had covered 2/3 of the planned hiking route discovered that he had lost his map. He came back for her. After overcoming 1/4 of the route he had already traveled, he found the map. He then continued in his original direction. When he had walke - Motion
A car and a bus set off toward each other from two locations 232 km apart. The car started at 6:20 at an average speed of 67 km/h. The bus started at 8:40 at an average speed of 74 km/h. When did they meet? How many kilometres had the bus travelled at the - A cheetah
A cheetah was separated from his brothers during a hunt. His brothers were at a watering hole 120 km away. He had to return before sundown, which was 1.5 hours away. His brothers planned to leave the watering hole at sundown. - For the first 40 km, the ch - Pucks
The coach went to buy balls and pucks for his charges. He paid CZK 1,464 for 21 balls and 30 pucks. But then he found out that this amount would not be enough for him, so he bought nine balls and ten pucks for 536 CZK the next day. How much did one ball c - The bath
Dad poured 50 liters of water at 60 °C into the tub. How much cold water must he add at 10 °C to obtain a bath that has a temperature of 40 °C? - Goalkeeper
Mike plays as the goalkeeper 50% of the time if Peter is the coach in a football game. However, if Robert were coaching, he would only have a 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be t - AP - sum15
Calculate the sum of the first 15 terms of the arithmetic sequence if a₁ = 5 and d = −3. - How many
How many double-digit numbers divided by nine give the rest of the seven? - Ratio calculation puzzle
Determine x in the ratio: 200:6 = x: 400 - Classroom 3
How many children are in the classroom, where 13 children are higher than Lenka and nine children lower than Lenka? - Mom and daughter
Mom is 21 years older than the daughter. What is the age difference between them in 32 years? - Divisibility
Determine all divisors of a number 91. - Swimmer pool meeting
The pool is 50 m long. The first swimmer swims across it in the 60 s and the second in the 40 s. Both start at the same time and on the same side. The faster swimmer turns around at the end and swims back. When will he meet the slower swimmer? Swimmers mo
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