Algebra - math word problems - page 301 of 312
Number of problems found: 6224
- Crimson Lynx
Captain Emily has a ship, the H. M. S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band of thieves. If her ship hasn't already been hit, Captain Emily has a probability of 3/5 of hitting the pirate ship. If her sh - 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? - Cleaner injury hours
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves? - Potato harvesting
Due to a large potato harvest this year, the farm bought a new, more powerful sorter in addition to the old one. With both machines running simultaneously, the daily harvest is processed in 12 hours. If only the old machine were used, it would need 10 mor - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36 min - Madams
During spring cleaning, ladies were going to wash the windows. Mother takes 2 hours to wash all the windows, the grandmother takes 2 times longer, and Paula washes all the windows in 2 hours. How many hours will you spend washing the windows of this "wome - Water mixing
We have 520 ml of hot water and 640 ml of water at 48 °C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65 °C? - Quadrant four
Which point is located in Quadrant IV? A coordinate plane. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6) - Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper? - Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th - Cyclist stage speed
In the first stage, the cyclist covered 70 km at a speed of 22.1 km/h. In the second stage, he covered 40 km (a total of 110 km), and his overall average speed increased to 22.9 km/h. What average speed did he achieve in the second stage? - Three painters
The three painters have painted bridges. The first would work done in 5 days, the second in 6 days, and the third in 7.5 days. How long will the bridge work if they work together? - Two brothers
Two brothers want to collect 20 kg of chestnuts. If only Mark collected, he would make it in 30 minutes. It would take Milo 10 minutes longer. How long after Mark does Milo have to start collecting to be finished in 18 minutes? - In and out
The empty tank is filled in 12 minutes and empty in 16 minutes. If we forget to close the drain, how long does it take to fill? The tank has 1000 liters of volume. - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Inequality proof
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - Average 110
The average of five numbers is 1.3. What is their sum? What is the arithmetic mean of the numbers 0.04, 0.014, and 0.21? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8, 0.65, and 3.1. What is the fourth number? - Product 3DN
How many three-digit numbers are there whose product of digits is 5? - Master 7
A master craftsman and an apprentice are laying tiles on a roof. At the end of the work, they found that the apprentice did only one third of the work and the master did the rest. If the master worked alone, the work would take him 2 hours longer than if - Average speed
The truck drove 1/2 of the way on the highway at 80 km/h. The other half of the way, 20 km/h. Calculate the average speed.
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