Reasoning - math word problems - page 85 of 87
Number of problems found: 1734
- TV fail
On average, a television set experiences 25 failures per 10,000 hours of use. Find the probability of a failure occurring within 400 hours of operation. - Camp
In a class there are 28 children. During the holidays, 20 children went to summer camp and 13 children went on holiday with their parents. Find the minimum and maximum number of children who could have gone both to summer camp and on holiday with their pa - Work
The first paving machine can pave a pavement in 28 hours, and the second in 26 hours. The first machine started working, and after 2 hours the second machine joined it. How long after the second machine starts will they finish the job together? - College
A dormitory has 73 rooms and 254 students. Some rooms are triple occupancy and some are quadruple occupancy. How many of each type of room are there, given that all rooms are fully occupied? - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Motion problem
One car travels from Martina to Levíc at 89 km/h. Another car travels from Levíc to Martina at 71 km/h. How many minutes before they meet will the two cars be 29 km apart? - Ravens
In the tale of the Seven Ravens, there were seven brothers, each born exactly 4 years after the previous one. When the eldest was 4 times older than the youngest, their mother put a curse on all of them. How old were the seven brothers when their mother c - Trains for people
Trains are often associated with delays. Calculate the average travel speed of a train on a 85 km route if the scheduled departure is 7:00 and arrival is 8:18, but the train is delayed — departing at 8:10 and arriving at 9:27. - Intersections
How many intersection points do two circles with radii 16 mm and 15 mm have if the distance between their centres is 16 mm? - Motion2
A cyclist left town at 24 km/h. A car set off 0.5 hours later in the same direction and caught up with the cyclist in 58 minutes. How fast did the car travel, and how far from the town did it catch the cyclist? - Right
Determine the angles of a right triangle with hypotenuse c and legs a and b, if: 2a +5b = 5.283c - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Free fall
Pavel fell from a height of 9 m. Calculate the speed at which they hit the ground, given a gravitational acceleration of g = 9.81 m/s². - Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own? - Coin
How many 5-cent coins must be placed in a row so that an identical coin, when rolled along the tops of the coins in the row, completes exactly one full rotation? - Chocolate
How many times must a chocolate bar consisting of 10 × 12 pieces be broken to separate it into 120 individual pieces? - Book
Calculate the thickness of one page of a mathematics problem book that is 3.98 cm thick and has 495 pages. - Washer
A washing machine drum spins at 64 RPM. The motor pulley has a diameter of 6 cm. What must be the diameter of the drum pulley if the motor runs at 367 RPM? - Wiring
A conduit has a cross-section of 54 mm². Is it possible to fit 6 conductors each with a cross-section of 6.7 mm² inside it? - Three numbers
Using the digits 1–9, form three-digit numbers such that their sum is as small as possible. What is the value of this sum? (Use each digit exactly once.)
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