Equation + inverse relationship - practice problems - page 3 of 5
Number of problems found: 87
- Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers. - Eq with reciprocal
Solve the given equation with a reciprocal member: a-6/a+10=4/8 - Reciprocal equation 3
Solve a reciprocal equation: 1/2 + 2/3=1/x - Reciprocal equation 2
Solve this equation: x + 5/x - 6 = 4/11
- Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Calculate 6240
The ratio of the two natural numbers is 2: 3. The smaller number in this pair is 12. Calculate the larger A number from this pair. - Wood harvesting
The harvested wood is bundled from the forest to a sawmill. The driver makes the journey four times a day, and the work takes him eight days. How often would he have to go daily to finish the job two days earlier? - Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself? - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. How many liters of orange did he mix if he used 8 liters of red?
- Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page? - Baker
The baker needs 10 kg of flour to make 12 kg of dough. How much flour does he need to make a 100 kg dough? - Workers
Nine workers dig a canal 120 meters long for eight hours. For how long would digging five workers' canals be 200 meters long? - Materials 4405
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials - Kilometers 4391
The car moved out of place at a speed of 60 km / h in 1.5 hours. The second car moved at a speed of 80 km / h. How long will it take to catch the first car, and how many kilometers will it drive?
- Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times? - Painting rooms
If Daniel paints for three hours daily, he completes it in 7.5 days. How many hours a day would he have to work to finish the job 1.5 days earlier? - Pumps
Four identical pumps fill the tank in 40 hours. How many pumps would we have to use if we wanted to save 8 hours? - Together 3491
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself? - Water reservoir
The water reservoir is filled with one pump for four days by the second one for nine days. An outlet can drain the tank in 12 days. How long does it take to fill the reservoir if both pumps are running and not closed outlet channels?
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