Algebra - math word problems - page 242 of 302
Number of problems found: 6040
- The caravans
At 6:00 in the morning, a caravan set out of the oasis at a speed of 1.5 miles per hour. Two hours later, a second caravan followed her at 2.5 miles per hour. When did the faster caravan run slower? How far from the oasis?
- Skid friction
Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid.
- Insulation
Two workers insulate the house for five days. After the first day of working together, only one worker continue to cover the house. How many days will the house be insulated if every worker has the same work tempo?
- Classs mean
The class size is 30 students. Math was not worse than mark 2. Find the number of pupils who were marked one if the class had a 1.4 average mark.
- Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) Both are defective? Ii) Is the second item defective?
- Ten apples
The average weight of ten apples is 200 g. How does the average weight of apples change if we eat one apple weighing 129 g?
- Reduce ratio
Express the following ratio in simplest form: 30:42
- Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that, when heated to 39 degrees Celsius, absorbed 3.5 kJ of heat? The specific heat capacity of iron is 450 J/kg/°C.
- Doubravka 83293
Evelyn plows the garden in four hours, while her friend Doubravka can do it in three hours. Evelína started work at 1 p.m., and an hour later, Doubravka joined her so they could go swimming together. Calculate the time the girls can go to the swimming poo
- Important 81924
Karel went for a walk at a speed of 5 km/h. After 3 hours, Ondra rode to him with an important message. He was moving at a speed of 20 km/h. How many minutes did Ondra catch up with Karel?
- Kilometers 81410
The tourist walked 1/4 of the way at a speed of 4.5 km/h, 2/5 at a speed of 4 km/h, and the remaining 7 km at a speed of 5 km/h. How many kilometers did he run, and how long did the journey take him? Calculate the time in a fraction.
- Bratislava BA-BB
A truck drove from Bratislava to Banská Bystrica at a speed of 30 km/h. At the same time, a tractor drove at a speed of 40 km/h. The tractor arrived in Banská Bystrica 1 hour and 45 minutes earlier than the truck. What is the distance between the cities?
- Oversized 53431
Behind the vehicle with an oversized load, which moves at an average speed of 16 km/h, they sent a second escort vehicle 2.5 hours later, which travels at an average speed of 70 km/h. At what time and at what distance does this vehicle reach the oversized
- Followed 43871
At 6.40, a cyclist started from the station at a speed of 12 km/h. At exactly 10:00, the car followed him at a speed of 84 km/h. What time does the car catch the cyclist?
- Bottles 31621
We filled 90 liters of must into bottles, some with a volume of 1 liter and some with a volume of 1.5 liters. Thus, we have a total of 70 bottles of must. How many bottles of each species did we fill?
- Playground 8308
The journey to Ed and on to the course takes 26 minutes. How long does the journey to Ed take when the trip from Ed to the playground is 4 minutes longer than the journey from the house to Ed?
- Workers
Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
- Tourist 5910
The tourist went on a hike of 8 hours at a speed of 5 km/h. At 9:30, a cyclist set off behind him at a speed of 30 km/h. When will they meet?
- Companies 4156
Company A mows the meadow in ten hours. Company B will cut the meadow with dynamite in six hours. How many hours would these companies mow two meadows if they worked together?
- Collection
John collected half a bucket of raspberries in 45 minutes, and Eva collected the whole bucket in an hour. How many minutes would it take to fill a bucket if the two children worked together?
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