Unit conversion practice problems - page 40 of 122
Number of problems found: 2437
- Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t
- Marlon
Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the picture. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
- 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?
- Power input
The construction lift lifted a 300 kg load to a height of 12 m with uniform movement. If the efficiency is 75% and the engine has a power input of 5 kW, how long did it take for the load to be lifted?
- Car and motorcyclist
A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds.
- Fruit juice
Fruit juice contains 37.5% sugar. How much percent of sugar will be in the flavored mineral that we prepare from 100 grams of fruit juice and 1.4 liters of mineral? (1 liter = 1 kg)
- Car and cyclist
The cyclist started from town at a speed of 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was the car?
- Republican 83136
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36?
- Employees 46923
The new water supply pipeline is to be 1.2 km long. Employees put it from both ends. On one side, 0.492 km of pipeline is laid, and on the other side, 53,500 cm of a pipeline. How many meters of pipe are left to lay?
- Instantaneous 37961
A plane wave has an amplitude u0 = 40 cm and a frequency f = 10 Hz. The speed of wave propagation through the medium is v = 40 cm. S-1. At a distance x = 10 cm from the starting point, the wave has an instantaneous deflection u = 15 cm. How long does it t
- Calculated 25171
Peter trains for a half marathon every day. He ran 1,000m on the first day and increased the training length by 250m daily. On a certain day, Peter ran 21 km in training. That day, he calculated the total distance he had run since the start of training. H
- Afternoon 5618
Mrs. Vránová planted 50 spruces in three and a half hours in the morning. Mrs. Kosová came in the afternoon, and together, they planted another 100 spruce trees in four and a half hours. Report: A. how long would it take Mrs. Kosová to plant 50 spruces he
- Antelope 4440
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running?
- Vegetable 2616
Danka was supposed to dig a vegetable patch in the garden. She would have carved it in 1.5 hours if she had worked alone. If her sister Hanka were to cut it alone, she would carve it in 0.75 hours. How long would it take them to weed the garden together?
- Lead melt
Find the heat needed to melt an object made of lead weighing 250g and an initial temperature of 35°C. Lead melts at 327°C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg.
- Thermometer
Immerse a thermometer with a heat capacity of 2.0 J. K-1 in water weighing 67.0 grams. Before water immersion, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water te
- Motorcyclist and cyclist
At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist?
- Videotape
Viera bought a videotape on which she could record programs with a total length of 240 minutes. She recorded a sci-fi movie, 1 hour and 28 minutes long, five ten-minute sessions, and "aerobics at home." Can she fit on the tape even the film of Robin Hood,
- Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian?
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