Themes, topics - math word problems - page 98 of 168
Number of problems found: 3346
- Orienteering 8851
The first patrol of the pupils' orientation run started at 8 a.m. at an average speed of 5 km/h. At 8:36 AM, the leader of the orienteering race followed them on a bicycle at a speed of 20 km/h. When and how far from the start will he catch up with them? - Copper sulphate
How much g of water do we have to add to 240 g of an 84% CuSO4 solution to produce a 60% solution? (Express the mass of crystalline CuSO4 in the original solution and the resulting solution and compare them. ) - Identical 8831
In triangle ABC, point P lies closer to point A in the third of line AB, point R is closer to point P in the third of line P, and point Q lies on line BC, so the angles P CB and RQB are identical. Determine the ratio of the area of the triangles ABC and P - Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Speedometer 8781
The car's speedometer showed a constant speed of 60 km/h for 5 minutes. What path did the car cover during this time? - Density - Au
What volume is 1/2 kg of gold? The density of gold is 19.3 kg/dm³. - Motorcyclist 8671
The motorcyclist was riding: a) the first half of the driving time at a speed of 30 km/h, the second half of the time at a speed of 60 km/h, b) the track's first half at a speed of 30 km/h and the second half at a speed of 60 km/h. Determine its average s - Complied 8661
Police found that the car had traveled 300m in 20 seconds. He complied with the driver's maximum allowed speed of 50 km/h - Determine 8611
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product. - Distance 8591
The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)? - Drive to NJ
Ed drove to New Jersey at 30mph. He drove back home in 3 hours at 50 mph. How many hours did it take Ed to drive to New Jersey? - Long bridge
Roman walked on the bridge. When he heard the whistle, he turned and saw Kamil running at the beginning of the bridge. They would meet in the middle of the bridge if he went to him. Roman rushed and did not want to waste time returning 150m. He continued - Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Justification 8468
The natural number n has at least 73 two-digit divisors. Prove that one of them is the number 60. Also, give an example of the number n, which has exactly 73 double-digit divisors, including a proper justification. - Accelerated motion - mechanics
With a total weight of 3.6 t, the delivery truck accelerates from 76km/h to 130km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. In - Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1m B) 1s? - 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? - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Belongs 8412
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T.
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