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Number of problems found: 3477

Three pumps
We are filling the pool. The pool would fill the first pump in 12 hours and the second in 15 hours. If all three pumps ran simultaneously, they would fill the pool for 4 hours. How long would the pool fill only with the third pump?
Two cities
The distance between cities A and B is 132 km. At 9.00 AM, the cyclist started the bike at an average speed of 24 km/h, and at 10.00 AM, the B cyclist at an average speed of 30 km/h. How long and far from A will they both meet?
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?
Lottery Winnings
The parents won 12,000 euros. They decided to spend 34% of their winnings on Christmas presents and put the rest in the bank. How many euros did they deposit in the bank? What was the annual interest rate at the bank if they were credited with 118.8 euros
Two vans
At 8:30 AM, two vans leave a car park and travel in opposite directions: one at 48 km/h and the other at 62 km/h. At what time will the two vans be 550 km apart?
Express train
An international express train drove from Kosice to Teplice. In the first 279 km, the track was repaired; therefore, it was moving at a speed of 10 km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to
Mixing water
We should fill the 30-liter container with water at 60 degrees Celsius. How many liters of 80 °C water and how many liters of 20 °C water do we need to mix?
Orlík hydroelectric plant
The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m³/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p
Effective and mean voltage
A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source. R2 is connected to a voltmeter, which measures the mean voltage and has an internal resistance R3 = 200300 Ω. The measured value
Walking
Lucy can walk about 3 4/5 miles each hour. How far can she walk in 2 hours 45 minutes?
Astronomical units AU
The given numerical data are the mean distances of planets from the Sun expressed in astronomical units. One astronomical unit is the mean distance of the Earth from the Sun, and approximately equals 150 000 000 km. Express the given mean distances in met
Working together
One worker performs work in 3 days, the second in 5 days. How much do they work together?
Two workers
The first worker would complete the work in 8 hours, the other in 6 hours. After two hours of joint work, the worker left the first worker to a doctor, and the others completed the work themselves. How many hours worked did the other worker himself?
Two trains
From station A, the freight train traveled at a speed of 40 km/h in 9 hours. When he drove 15 km, the fast train started from station A in the same direction at 70 km/h. When will the freight train catch up?
Total Distance Traveled
They walked 5 km through the forest, 3/4 around the lake, and 25% in the shade. How many km have they traveled in total?
Rectangle drawing calculation
Draw rectangles. Color them and calculate the circuits and areas. KLMN: KL = 5CM LM = 3CM rectangle OPQR OP = 4 cm PQ = 3.5 cm
Square drawing calculation
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3 cm square EFGH b = 4 cm
Renovation Work Time
The first company would renovate the complex in 30 hours. Another company would fix it in 20 hours. But the first company left after 5 hours of joint work. How long will it take to renovate the site?
Two Workshops Production Days
Two workshops of a particular company produced 25 parts a day. To have 300 pieces, one worked for ten days and the other for 15 days. How many parts did each workshop make per day?
Construction Material
A smaller car would bring 40 times the material needed for construction, and a larger car 30 times. When the first and second cars had made 12 trips, the smaller car was recalled, and the larger one was to bring the remaining material. How many more roads

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