Algebra - math word problems - page 269 of 303
Number of problems found: 6048
- Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long
- The work
The work was to be done by 150 workers. At the beginning of their work, The company reduced their number by 40, which increased the work time by 5 and 1/3 of the schedule. How long did the work take?
- Interst on savings
The bank offers 1.6% interest. How many euros do we have to insert at the beginning if we receive € 15 on the interest?
- Part-timers 6344
Certain work was to be done by 21 workers during an eight-hour workday, due in 12 days. After five days, temporary workers came to their aid. They all worked together for 7 hours a day and finished the job in 6 days. How many part-timers were there?
- Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the
- The king
The king divided ducats among his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a wh
- Direction 82705
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart?
- Bonbons
Create a mixture of 50 kg of candy for a price of 700Kč. Candies have prices: 820Kč, 660Kč, and 580Kč. Use cross rule.
- We are delayed
The train had to travel the distance from A to B at an average speed of 56km/h. After a 1.5 hour journey from station A, the train stopped for 30 minutes. To reach station B in the specified time, he had to travel the remaining distance at an average spee
- Two accounts
Two accounts in the bank, one per year interest 2%, the second 3%. Total interest income 1900 USD. If we reversed interest rates, the yield would be USD 200 higher. What are the amounts on each account?
- 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.
- Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?
- Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1702. Calculate how many books Ladislav could buy at the price of 30 and 28 euros if he doesn't want to fill the whole home library, and he can buy only 59 books
- Large family
The average age of all family members (children, mother, father, grandmother, grandfather) is 29 years. The average age of parents is 40 years, grandparents 66 years, and all children are five years. How many children are there in this family?
- Supermarket 20053
When only three checkouts are open in a supermarket, people wait in line for an average of 10 minutes. How many minutes will the average waiting time in line be if two more checkouts open?
- Determine 5592
Karel took out a loan of EUR 600 from Ivan 20.2 at a 20% annual rate. From January 10.5, a loan of 1100 Euros at a 14% rate. From Milan 15.9, a loan of 900 Euros at an 11% rate. All three return 30.12. Determine the annual interest rate for all three loan
- Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in a ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the 1:1 and 50 grams ratio costs 60 CZK. How much cost 10 grams of a more expens
- Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one nines on the third row. Finall
- Regularly 5036
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a
- Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns?
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