Themes, topics - math word problems - page 107 of 167

Number of problems found: 3338

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 pow
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
Lucie can walk about 3 4/5 miles each hour. How far can she walk in 2 hours 45 minutes?
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 15km, the fast train started from station A in the same direction at 70km/h. When will the freight train catch up?
Traveled 7349
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?
Rectangles 7346
Draw rectangles. Color them and calculate the circuits and areas. KLMN: KL = 5CM LM = 3CM rectangle OPQR OP = 4cm PQ = 3.5cm
Calculate 7344
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3cm square EFGH b = 4cm
Renovate 7342
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?
Particular 7338
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 7337
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
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?
Calculation 7334
In a computer center, one computer would work 12 hours to solve a task, and another, more powerful, would solve the same task for 10.5 hours. If both computers work together, the calculation time would be reduced for a certain period. Calculate how long i
The factory
The factory z can complete an order in 12 days, and factory p can complete it in 18 days. How many days does an order complete when the first two days work only the factory z and then both factories?
Together 7332
One tractor driver would mow the field in 15 hours. Another tractor driver would do the same job in 12 hours. How long will it take them to do the work together if the latter starts plowing two hours later than the former?
Water reservoir
One drain hole emptied the water from the tank for 20 hours, with the second drain for 30 hours. How long will the water drain from this tank if we open two drains simultaneously?
Beds
At the summer camp, there are 41 chalets. Some rooms are 3 beds, some 4-beds. How many campers from 140 are living in 3-bed?
Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc
Determine 7314
The hiker went from A to B and back in 3 hours and 41 minutes. The road from A to B is first uphill, then flat, and finally downhill. A hiker walked up a hill at a speed of 4 km/h, on a flat surface at a speed of 5 km/h, and down a hill at a speed of 6 km

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