Algebra - math word problems - page 292 of 303
Number of problems found: 6055
- Star equation
Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗ - All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a. - The pool
The pool contains 220 m³ of water. Workers can empty the pool either: a) 10 hours of pipe B and 8 hours of pipe A, or b) 10 hours of pipe A and 7 hours of pipe B. How many cubic meters of water will flow in 1 hour from pipe A, and how many from pipe B? - Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable? - Production 24021
The plant has to complete the order in 40 working days. Production takes place in two workshops. In the first one, there are more workers; therefore, they would complete the order themselves in 70 working days. In the second workshop, they would complete - Digit sum
How many are three-digit numbers that have a digit sum of 6? - Kilometers 4604
The tourist traveled 78 km in three hours. For part of the journey, he traveled by bus at an average speed of 30 km/h, and for the rest, he walked at an average speed of 6 km/h. How long did he walk, and how many kilometers did he walk? - Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota will do the work herself and when Michal will do it himself. - Deposit
If you deposit 881 euros at the beginning of each year, how much money do we have at 1.6% (compound) interest after 8 years? - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers? - Average 110
The average of five numbers is 1.3 their sum is? The arithmetic mean of the numbers 0.04; 0.014; 0.21 is? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8; 0.65; 3.1 the fourth number is? - Because of
Due to the large potato harvest this year, the farm bought a new, more powerful sorter in addition to the old one. Now both machines work simultaneously, and therefore the daily harvest is processed in 12 hours. If only the old machine were working, it wo - Two parts journey
The car driver plans to drive to a distance of 30 km in 0.5 hours. For twenty minutes, he follows the column at a speed of 30 km/h. What speed would he have to go in the remaining time? - By dosing
A dairy uses a new and an old line to dose yogurts. By dosing yogurts on the old line, the order is fulfilled in 6 hours. If both lines work together, they will fulfill the same order in 2 hours. How many hours will it take to fulfill such an order if the - Fire tank
The whole fire tank was discharged once in 6 days, first out by a second in $n day. Once firefighters pumped out 4/5 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank? - Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the feed last? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - Assemblers 47483
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Half-filled 7336
The water tank is filled with the first inflow in one hour and 10 minutes and the second in 60 minutes. How many minutes will the tank be half-filled with both inlets if the second outlet is opened 12 minutes later?
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