Grade - math word problems - page 629 of 968

Number of problems found: 19341

Overtaking
On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and then passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h, while the bus goes at a steady speed of 54
Perpendicular direction
A speedboat moves relative to the water at a constant speed of 13 m/s. The speed of the water current in the river is 5 m/s a) At what angle concerning the water current must the boat sail to keep moving perpendicular to the banks of the river? b) At what
Boat in the lake
A boatman walks along the ship's deck at a constant speed of 5 km/h in a direction that forms an angle of 60° with the direction of the ship's speed. The boat moves with respect to the lake's calm surface at a constant speed of 10 km/h. Determine graphica
The swimmer
The swimmer swims at a constant speed of 0.85 m/s relative to water flow. The current speed in the river is 0.40 m/s, and the river width is 90 m. a) What is the resulting speed of the swimmer for the tree on the riverbank when the swimmer's motion is per
Rowboat River Current Speed
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant.
Ball Velocity Train Relative
We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it a) in the direction of travel b)
Railway car points
Some points are at rest in a moving railway car concerning the earth's surface. However, some points move in the opposite direction to the direction of the moving car's speed. Which points are they?
Tractor belt speed
The crawler tractor travels at a speed of 5 m/s. How fast are the top and bottom of the tractor belt relative to the road surface?
Paratrooper
After the parachute is opened, the paratrooper drops to the ground at a constant speed of 2 m/s, with the sidewinding at a steady speed of 1.5 m/s. Find: a) the magnitude of its resulting velocity concerning the ground, b) the distance of his land from a
Running Track Overtaking
Two boys train to run on a 400 m closed track. They both run simultaneously from the same starting track in the same direction. Boy A runs at a constant speed of 5 m/s, and Boy B runs at a constant speed of 3 m/s. At what time does Boy A overtake Boy B fo
Table leg painting
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted?
Cube Edge Length Surface
When the surface of a cube is S = 150 cm², what is the length of its edge a =?
Lengths of the pool
Miguel swam six lengths of the pool. Mat swam three times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did Mat swim?
Tickets 4
Stacey is selling tickets to the school play. The tickets are $7 for adults and $5 for children. She sells twice as many adult tickets as children's and brings in a total of $342. How many of each kind of ticket did she sell?
Outside temperature
The temperature outside was 57 degrees Fahrenheit. During the next few hours, it decreased by 18 degrees and then increased by 23 degrees. Find a new temperature.
Fractions 3
Calculate 1/9 of 27:
Three brothers
The three brothers have a total of 42 years. Jan is five years younger than Peter, and Peter is two years younger than Michael. How many years has each of them?
Pool Water Height Volume
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters.
Balls Bet Win
Josef had three balls less than Jan. They bet ten balls, and Josef won. Who has more balls now?
Tourist Diary
Karel kept a tourist diary at summer camp. After camp ended, he found from his diary that on day 1 he walked a route of 7 km. On day 3 he walked twice as far as on day 1. On days 5 and 6 he walked the same distance, which together totalled 26 km. On the r

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