Algebra - math word problems - page 237 of 304

Number of problems found: 6078

Alcohol 4441
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made?
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?
Increased 83221
There are 12 players on the team, with an average height of 185cm. If the average height of a new player increased by 1cm after he joined the team, what would be his height?
Trees avg
The worker planted 96 trees on Monday, 120 on Tuesday, and 61 on Wednesday. If he averaged 105 trees per day, how many trees did he plant on Thursday?
Quotient and subtraction
Sixteen minus the quotient of 12, and what number is thirteen?
Mom and daughter
Mom is 21 years older than the daughter. What is the age difference between them in 32 years?
A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated.
Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need?
Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds.
The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long?
Where and when
The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average 80km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when?
Water pool
A pool with a volume of 990 hl is completely filled if water flows by one tap for 8 hours and by the second tap for 6 hours. The first tap gives 10hl more than a second per hour. How many hl flows in each of them in an hour?
Warehouse cars
From the warehouse, a truck started at a speed of 40km/h. After 1 hour 30 mins started from the same place in the same direction a car at 70 km/h. For how long and at what distance from the warehouse overtake a truck?
Chalet
The children were on a school trip to the mountain. One-third of the journey went by train and continued by bus. When you get off the bus, they remain a third of the distance they traveled by bus. What part of the journey do children go by bus (write as a
Train
A passenger train traveled for 2 hours 62 km. 1.8 hours after its departure started fast train and caught it on 162 km. How many km/h is different from its average speed?
Situation 6405
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget
Ostrava 83008
A truck with a speed of 45 km/h left Ostrava. When he had passed 15 km, a car with a 90 km/h speed came behind him. How long does a car catch up with a truck take? How far from Ostrava?
Kilometers 82735
Fifteen kilometers in front of us, a car travels at a speed of 70 km/h. We drive at an average speed of 100 km/h. How many minutes will it take us to catch up with the car?
Construction 81294
The first group of construction workers would build a certain section of highway in 15 weeks, and the second group would make it in 10 weeks. After four weeks of working together, the second group was dismissed, and only the first group continued to work.
Tourists 81058
Tourists traveled by bus to Croatia. They drove the highway in 8 hours at an average speed of 100 km/h. How fast would they cover it if they walked at an average speed of 120 km/h?

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