Themes, topics - math word problems - page 109 of 168
Number of problems found: 3346
- Bob traveled
Bob traveled 20 meters to Dave's house. He arrived in 3 minutes. What was his average speed for the trip? - Density 7257
Can a boy lift a 75 kg rock from the bottom of a pond if we assume he will raise a 50 kg rock in the dry? The density of stone is 2500 kg/m3, and the density of water is 1000 kg/m3 - Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin - Home cleaning
Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he - Dirty road
Mr. Smith is on a road trip to a remote disc golf course 180km away. He travels part of the way at 100km/h along the highway and part of the way at 50km/h along dirt roads. If it took 2 hours to get there, how many hours did he spend on dirt roads? - Free fall
The free fall body has gone 10m in the last 0.5s. Find the body speed at the moment of impact. - A man 2
A man divides $10,000 into two investments, one at 10% and one at 30%. Find the amount invested at each rate so that the two investments produce the same income annually. - Another 7225
The tourist walked on the plain for 2 hours at a speed of 6 km/h. For another hour, he climbed a steep hill at a speed of 3 km/h. What was his average speed? - Quadrilaterals II
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M and divide the dodecago - Perpendicular sides In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ
- Needs
Hanka needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the saving - Gold horseshoe
Calculate the volume of a gold horseshoe that weighs 750g. - Circumference 7209
The speed of the points lying on the circumference of the rotating disk is 6 m/s. The speed of the points, which lie 20 cm closer to the axis of rotation, is 4 m/s. Find the angular velocity of the wheel. - Motorcyclist
From Trutnov, the motorcyclist started at an average speed of 60km/hour. At 12.30hrs, Peter began driving the passenger car at 80km/hour. How many hours and at what distance will a car catch a motorcycle from Trutnov? - Hydraulic 7194
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N? - Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - Ticháček 7185
Mr. Ticháček had three gypsum dwarfs in the garden: the largest was called Maško, the middle Jarko, and the smallest Franko. Since he liked to play with them, he discovered that when he put Fan on Jarek, they were as tall as Maško. On the other hand, when - Definitely 7179
Ivan and Mirka shared pears in the mission. Ivan always takes two pears, and Mirka takes half of what remains in the mission. Thus, Ivan, Mirka, Ivan, Mirka, and finally Ivan, who took the last two pears, took them away. Definitely. Who had more pears, in - Minutes 7177
The tank holds 140 liters of water. It is filled with a tap in 5 minutes, and the drain is emptied in 7 minutes. How long will it take for the empty tank to fill if we open the faucet and drain it?
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