Algebra - math word problems - page 245 of 312
Number of problems found: 6224
- Coils of transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220 V. How many turns does the secondary coil have when the voltage is 55 V? Find the transformation ratio and decide what kind of transformation. - Pool pump filling
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b - Temperature conversion calculation
When converting degrees Celsius (C) to degrees Fahrenheit (F), the relationship is used: F = C . 9/5 + 32. How many degrees Celsius are they in New York City if the thermometer reads 23 degrees Fahrenheit? - Candy mixture calculation
How many kg of red candies at the price of CZK 65 per 1 kg must be added to 5 kg of blue sweets at the cost of CZK 140 per 1 kg when the price of the mixture should be CZK 120 per 1 kg? - Two water containers
There are 200 m³ of water in the first container, and in the second, 40 m³. The first container will flow down at a rate of 10 m³ water per hour. At the same time flows at the second rate of 5 m³ per hour. After how many hours will there be one-third as m - Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work? - Water mixing
How many liters of hot water at 80 °C do we have to mix with water at 10 °C to get 10 liters of warm water at 45 °C? - Cyclo trip
Eighth-graders took a full-day trip on a cycling course. They took 1/7 of the route to the first break and added another 3/7 of the route to lunch. They had 18 km left to the finish. How many kilometers was the trip route measured? - Cyclists meeting Two cyclists drove from two cities 66 km apart. One drove at an average speed of 18 km/h, the other at 15 km/h. How many hours will they meet?
- Water temperature
Mom is going to wash by hand in water that should be at 40 °C. The tub already has 10 liters of water at a temperature of 12.3 °C and can still hold 5 liters. What temperature should the water be allowed to be? - Car overtaking
From place A, the cyclist drove at a speed of 24 km/h. They sent a car behind him an hour later, traveling at 60 km/h. When and how far from place A will a cyclist travel? - Wheel revolutions
The circumference of the vehicle's front wheel is 1.44 m, and the circumference of the rear wheel is 2.56 m. How long did the vehicle travel when the front wheel made 560 more revolutions than the rear? For the unknown, choose the number of revolutions of - Novak
Smith needed to dig up three of the same pit in the garden. The first pit was dug father alone for 15 hours. His second dig son helped him, and it did that in six hours. The third pit was dug son himself. How long does it take him? - Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the - Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) Both are defective? Ii) Is the second item defective? - Three-digit number creation
The number 0,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the num - Ball pocket probability
There are seven red balls and 13 blue balls in the pocket. How many blue balls do we need to add to the pocket so that the probability of removing the red ball is 0.2? - How many 4
How many four-digit numbers that are divisible by ten can be created from the numbers 3, 5, 7, 8, 9, and 0 such no digits repeats? - Jana grade average
The average of 19 students from the mathematics paper was 2.63 (rounded to two decimal places). Jane wrote the paper later because she was sick. After taking Jane's grade into account, the average changed to 2.60. What grade did Jane get? - Average height
The average height of all pupils is 162 cm. The class teacher's height is 178 cm. The average height of all (teacher and all pupils) is 163 cm. Calculate the number of pupils in the class.
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