Algebra - math word problems - page 217 of 303
Number of problems found: 6048
- Antelope 4440
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running? - Log
If log4 x+ log8 x = log_b x, what is b? - Two numbers
Find two numbers whose difference and the ratio are 2. - A cook
A cook wants to make enough cookies for 159 students. The cookie recipe makes 1 1/4 dozen cookies. A dozen equals 12. How many batches must the cook make if each student gets one cookie? - Special sequence
What if 2×9=1 3×9=2 4×9=3 5×9=4 6×9=5 7×9=6 8×9=7 9×9=8 10×9=9 then 1×9=??? Answer with solutions. - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years? - Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the - Water lilies
Water lilies are growing on the pond, and their number doubles every day. If the whole layer is covered in 12 days, how many days will it take to cover eight layers? - Three numbers
Find three numbers so that the second number is four times greater than the first and the third is lower by five than the second number. Their sum is 67. - The city
At the end of 2010, the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013? - The balls
You have 108 red and 180 green balls. You have to be grouped into the bags so that the ratio of red to green in each bag is the same. What may the smallest number of balls be in one bag? - Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B at an unknown speed and for an unknown period. Back to point A, it went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey? - Ascent and descent
The car goes 114 km of track, consisting of ascent and descent at 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent? - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then? - Kilometers 6535
Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later. - Destination 5286
Daniel reached the destination in 3 hours. Peter came to this place in 4.5 hours. What speed was Daniel moving if we know that Daniel's speed was 30 km/h faster than Peter's, and they both started at the same time from the same place? - Discovered 2830
A walker who had covered 2/3 of the planned hiking route discovered that he had lost his map. He came back for her. After overcoming 1/4 of the route he had already traveled, he found the map. He then continued in his original direction. When he had walke - The bath
Dad poured 50 liters of water at 60°C into the tub. How much cold water must he add at 10°C to obtain a bath that has a temperature of 40°C?
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