Algebra - math word problems - page 299 of 305
Number of problems found: 6082
- Census pyramid
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Jana Petra windows
Jana washes 20 windows alone in 4 hours. Petra would be able to do it in 6 hours. How long will it take to work together? - Teacher paper correction
The new teacher corrects papers for 9 hours, and the older one fixes them in 6 hours. How much will they repair together? - Together 3
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? - Work time
Josef would do the work himself in 5 hours. Josef and Michal would do the work together in 3.5 hours. Determine how long it would take Michal to do the job independently. - Homework probability
Today, one-fifth of 30 students still need to complete a homework assignment. What is the teacher's probability of randomly selecting a pupil with homework during the check? - Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter in 14 weeks. They used the cream together for four weeks, then only the daughter used it. How many more weeks did her cream last? - Blueberries - total
Peter collects a container of blueberries in 3 hours, and Jana in 2 hours. How long will it take them to fill the container together? - Two pumps
Pump A takes twice as long to fill a tank as B. Together, they take 2 hours to fill the tank. How long does each one take to fill the tank by itself? - Turners
Two turners perform joint work in 3 hours. The first-turner would perform the job himself in 7 hours. How long would the same job last for a second-turner if he worked alone? - Two pumps filling
A pool with one pump fills in 14 hours and the other in 15 hours. How long will the pool fill when both pumps are used? - Work time
Michal would cut the fence himself in 12 hours. It would take Michal and Juraj 8 hours together. Determine how long it would take for Juraj to do the job. - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - Water mixing
We mix 2 liters of water at 100 degrees Celsius warm and 18 liters of water at 32 degrees Celsius warm. What temperature will the water have after mixing? - Parquet floor
Three workers laid the parquet floor for 2.301 hour. The first would do this work alone 7 hours, the second in 6 hours. For how many hours would this work for the third worker if he worked alone?
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