Algebra - math word problems - page 233 of 312
Number of problems found: 6224
- Motion
The two bodies move in the same direction evenly in a straight line, at speeds of 5 cm/s and 10 cm/s. The movement of the first body started 2 seconds earlier than the movement of the second body, from a point located at a distance of 20 cm from the start - Accelerated motion - mechanics
With a total weight of 3.6 t, the delivery truck accelerates from 76 km/h to 130 km/h in the 0.286 km long way. How much was the force needed to achieve this acceleration? - Ball acceleration distance
A ball placed on an inclined plane begins to move and reaches a speed of 1 m/s in 5 s. Assuming that the ball's motion is uniformly accelerated, determine the magnitude of its acceleration and the distance it travels in the given time. - The tourist
The tourist came started from the hostel at an average speed of 5 km/h. Half an hour later, the bicyclist started along the same route at a speed of 20 km/h. How many minutes will a cyclist catch up, and how many kilometers will he goes? - Speed increase
The tourist travels at an average speed of 3.5 km/h. The last train takes him 50 minutes. If he still has 5 km to go to the station, how much does he have to increase his speed? - Plane meeting
The distance between the two airports is 3480 km. There are regular connections from airport 1. The plane takes off at 6:30 am at an average speed of 600 km/h. From airport two at 7:00 am at a speed of 540 km/h. When will they meet? - Two planes
Two planes are flying from airports A and B, 420 km apart. The plane from A took off 15 minutes later and flew at an average speed of 40 km/h higher than the plane from B. Determine the average speed of these two aircraft if you know that it will meet 30 - Catching up time
Johnny left home at 8 a.m. on foot at an average speed of 4 km/h. At 11 a.m., dad followed him on a bicycle at an average speed of 40 km/h. How long and at what distance from home will dad catch up with Johnny? - Mixing
If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the p - Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s) - Three friends
Cuba, Matthew, and their friend Adam worked at a part-time job over the weekend to fund a joint trip to the Alps planned for spring break. Cuba worked diligently and earned 11,000 CZK. Matthew, however, earned only one-third of the arithmetic mean of Adam - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75 m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Cyclist meeting calculation
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)? - Mo z5 2023 dogs
Anetka's uncle has his birthday on the same day of the year as Anetka's aunt. The uncle is older than the aunt, but not by more than ten years, and both are of full legal age. At the last celebration of their birthdays, Anetka realised that when she multi - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Number calculation
Specify a number that is 61% less than 10². - Exponent value
What is the value of x in the expression 8^x = 1/64 - Logarithmic equation
Solve equation: log13(7x + 12) = 0 - Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a - Apple box picking
Carl, Peter, and Milo helped pick apples. It took Karl 30 minutes, Peter 45 minutes, and Milo 36 minutes to turn over one full box of apples. Calculate how long it would take them to acquire 3 full crates together. Mark one answer: a. 32 minutes b. 36 min
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