Algebra - math word problems - page 339 of 353
Number of problems found: 7043
- 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? - Triangle in a square
In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides. - Two groves
Two groves A and B are separated by a forest. Both are visible from the hunting grove C, which is connected to both by direct roads. What will be the length of the projected road from A to B if AC = 5004 m, BC = 2600 m, and angle ABC = 53° 45'? - To convert
To convert from a Celsius temperature to a Fahrenheit temperature, multiply the Celsius temperature by 9/5 and add 32. Which is the Fahrenheit temperature corresponding to - 30 degrees Celsius? - Insert four
Insert four harmonic means between 3/7 and 3/19 - Building construction time
Peter and Honzo decided to build the building as quickly as possible. They built one-twentieth of the building in ten minutes. After 20 minutes, three more friends joined. Everyone was building at the same pace. How many minutes did it take to build the s - Monthly savings account
I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%? - Sidewalk worker
Workers are building a new sidewalk while revitalizing the housing estate. Six workers will do the work in 12 days, but this is a problem because the sidewalk must be completed in 10 days to complete the work on time. How many workers must be hired to com - Hop picker hiring
Eight hop pickers harvest in 24 days. How many more pickers must be hired if the hops need to be harvested in 16 days? - Wayne
Wayne can clear a plot of land in 1/3 hours, and Melvin can clear the same plot of land in 2/4 hours. What could possibly be the time for both Wayne and Melvin if they combine to clear the same plot of land? - 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? - 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 - A bag 4
A bag contains 18 balls that differ only in colour: 11 are blue and 7 are red. Two balls are picked one after the other without replacement. Find the probability that both are: (i) blue, (ii) the same colour, (iii) different colours. - Tractor 19
A tractor ploughs a field in 48 hours using a plough with 5 blades. How long will it take to plough the same field using a plough with 6 blades of the same width, maintaining the same tractor speed? - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Housing loan interest
How big would the Novak family take out a housing loan if they paid an interest of 5500 euros after the first year and the interest rate of this loan was 5.5% p. and.? - Acid mixture
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - Alcohol solutions We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution?
- Worker production
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours)
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