Algebra - math word problems - page 299 of 305
Number of problems found: 6095
- Tank inlet filling
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Everyone age average
There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class? - 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. - A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors - 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? - Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench every 40 hours. How many hours will the ditch dig all three together? - Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge? - Target zone probability
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target? - Insert four
Insert four harmonic means between 3/7 and 3/19 - 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? - Digger ditch together
An older digger would dig a ditch by himself in 6 hours. A younger digger can handle the same trench in 3 hours. How long would it take them to dig if they worked together? - Painter fence work
Two painters are painting the factory fence together. If everyone worked alone, the first would finish the job in 16 days, the second in 20 days. When will they finish the work together? - Evening shift
While working the evening shift, Officer K took 8 hours to complete a task at his workstation, and Officer M took 10 hours to complete the same task at his workstation. How long would it take Officer K and M to complete the same task, each working at his - Rowboat River Current Speed
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - 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? - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - 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? - 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?
- 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?
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