Algebra - math word problems - page 308 of 353

Number of problems found: 7043

Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
What percentage
Petra made lemonade from one liter of 100% fruit juice and three liters of water. When she tasted it, she found that it was too sweet and would not be tasty for everyone. She left two liters of it for her friends. She added two more liters of water to the
Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes?
Hiker and cyclist
At 7 PM hiker started at 6 km/h to hike. After three hrs. later started on the same trip cyclist at a speed of 15 km/h. After an hour of driving a flat tire and takes him half hour to correct the defect. At what time catch up cyclist with the hiker?
Two-Digit Numbers Multiply Four
Write how many double-digit numbers there are, which, if we multiply by four, we get the result ending in two zeros.
Target
Peter, Martin, and George were a fire in a particular target, with only three fields with values of 12, 18, and 30 points. All boys were firing with the same number of arrows, and all the arrows hit the target, and the results of every two boys differed b
Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and number of turns if the transformation ratio k = 0.1.
Bombastic number
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
Vehicle speed
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going?
Travel speed
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes?
Car overtaking
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
Shaft drainage time
The mine foreman calculated that 2 pumps must be in operation for 17.5 hours to drain the tunnel. He wanted to speed up the emptying of the shaft and added 3 more identical pumps. How long will it take to empty the shaft? Please also show your calculation
Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t
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
Test scores
Jo's test scores on the first four 100-point exams are as follows: 96,90,76, and 88. If all exams are worth the same percentage, what is the minimum test score necessary on his last exam to earn an A grade in the class (90% or better)?
School year
At the end of the school year, 20% of the 250 children who attended school were awarded. 18% of boys and 23% of girls received awards. Find the number of boys and girls who attend school.
Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor?
Trapezoid median
The midsegment of the trapezoid is p = 18.6 cm, and the base a = 29.8 cm. Calculate the size of the other base c.
Two cars on ring
Two cars were on the round track (ring) in the adjacent tracks, the first on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the second to
Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics)

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