Quadratic equation + time - practice problems - page 3 of 4
Number of problems found: 61
- Calculate 5619
Jana had to calculate 70 tasks, and if she had solved two more daily tasks than she had planned, she would have finished four days earlier. How many days did she have to calculate the tasks? - Simultaneously 5610
Two cyclists rode towards each other simultaneously from opposite ends of the 28km long route. Each covered the entire route at a constant speed, the fastest being at the finish line 35 minutes earlier. On the route, the cyclists passed each other after 1 - Elišča's 5549
"My daughter will be x years old in x²," said Elišča's father in 1991 at her birthday party. a) When will the said event occur, and how old will Eliška be at that time? b) In what year was Eliška born? c) How old was Eliška in 1991? - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there?
- Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Everyone 4572
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone? - Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be 7/2 times older than he. How old are Richard and his mom? - Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d. - Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km.
- Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota would do the work herself and that Michal would do it himself. - Blueberries 2
Lenka and Martin collected eight liters of blueberries in two hours. How long will Lenka take to collect blueberries itself if we know that she collects all 2.5 hours less than Martin? - Two pipes
One pipe fills one-fifth volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will fill the tank of each pipe separately? - Two masons
Two masons built the garage together - it took 18 days. If they worked independently, the other would work 15 days more than the first. For how many days would build the garage each mason himself? - Water reservoir
The water reservoir is filled through one inlet 4 hours later than both together, then another inlet 9 hours later. For how long is filled by each separately?
- Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used new, but out of toner and exchange took 5 min at that time copied on the old. The whole work was done in 9 min. How long would the work do only by the old co - Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B unknown speed and for an unknown period. Back to point A went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey? - Trains
From station 130 km away started passenger train and after 1.9 hours after the express train, which travels 27 km an hour more. Express train finish journey 5 minutes early. Calculate the average speed of these two trains. - Abyss
The stone fell into the abyss: 2 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 = 343 m/s) - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
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