Reasoning - math word problems - page 86 of 87
Number of problems found: 1734
- Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Equator
Suppose a tourist walked all the way around the Earth along the equator. How many more metres would the tourist's hat travel than the soles of their shoes? The radius of the Earth is 6378 km, and the tourist's height is 1.7 m. - Cyclist
A cyclist rides 7 km uphill in 46.9 minutes and the same distance downhill in 15.4 minutes, applying the same force to the pedals throughout. How long would it take to cycle the same 7 km on flat ground? - Pumps
A tank is filled by two pumps working together in 23 minutes. The first pump alone fills the tank 37 minutes faster than the second pump alone. How long does it take the first pump to fill the tank on its own? - Euler problem
Someone buys a number of towels for a total of 720 tolars. If for the same amount of money they could buy 6 more towels, each towel would be 6 tolars cheaper. How many towels were originally bought? - Rates
When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m³ of gas a flat monthly fee of 4.2 € (regardless of consumption) rate B - which pays 0.351 € per 1 m³ of gas a flat monthly fee of 10.1 € From what monthly co - Energy saving
Three independent inventions were released, each saving 15%, 17%, and 16% of energy respectively. Some people assumed that using all three would save 15% + 17% + 16% = 48% of energy. Is this correct? What is the actual total percentage of energy saved by - Tourist
Tourists walk at 4.2 km/h. They take a 10-minute break every 6 km. How many kilometres did they walk if they started at 4:40 and finished at 21:40? - Pump
What power output must a pump have to raise 1060 hl of water to a height of 43 m in 8 hours? - Family
A man and a woman have 7 daughters together (biological children only, excluding step-children). Each daughter has one brother. How many members are in the immediate family? - Shooters
In a regiment there are piati shooters. The first shooter hits the target with a probability of 42%, and the next with 40%, 21%, 58%, 67%%. Calculate the probability that the target is hit when all shooters fire simultaneously. - Shooter
The probability that a skilled shooter hits the centre of target zone I is 0.13. The probability of hitting inner circle II is 0.58. What is the probability that the shooter hits zone I or zone II? - Compound interest
Calculate the time it takes for a bank deposit earning 2.6% p.a. interest to double. - Loans, loan ...
Short-term non-bank loans in Slovakia are considered very unfavourable. Borrowers often end up in a debt spiral, taking out increasingly burdensome loans to repay earlier ones. Calculate how many 7-year loans of €1400 at 23% APR a person can repay if thei - Father and son
A father and son are 74 years old together. The son is 30 years younger than the father. How old is the son? - Trapezium zoom
By how many times does the area of a trapezoid increase if all its sides and height are multiplied by 5? - Sumo competition
In a heaviest-man competition there were 5 competitors. The top three together weighed 369 kg. What is the minimum possible weight of the winner, given that contestants' weights are measured to the nearest kilogram? - Tractors
Two tractors with different capacities are to plough a field. The first tractor can plough the entire field in 14 hours. The second tractor can plough the entire field 8 hours déle. How long does it take both tractors to plough the entire field working to - Solidarity
Calculate how many kilograms of salt a citizen effectively 'donates' to the government through taxes each year, if the combined tax burden (VAT + income tax + other levies) is 53% of a gross monthly salary of 982 euros and 1 kg of salt costs 15 cents. - Circles
Three circles with radii 30 cm, 28 cm, and 37 cm are mutually tangent externally. What is the perimeter of the triangle whose vertices are the centres of the circles?
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