Themes, topics - practice problems

This page contains thematic word problems. We have about 20 main topics, such as motion problems, mixtures, work problems etc. Please choose a specific topic that interests you from the menu. Examples within a topic usually train similar knowledge. For example, in movement tasks, terms such as distance, speed, and time often occur.

Number of problems found: 3474

Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added?
Simple interest pa
If a sum of money doubles in 8 years at simple interest, in how many years will it become 3 times the original amount?
Motorboat : current
The ratio of the speed of a motorboat to that of the current is 36:5. The motorboat travels downstream in 5 hours and 10 minutes. Find the time for the motorboat to return upstream.
Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace.
Common work 2
Person A works twice as fast as person B. If both of them together can finish a piece of work in 12 days, how many days would person B alone take to do it?
Three legs journey
A train runs for 3 hours at 40 km/h and then for 4.5 hours at 60 km/h, covering 3/5 of the total distance. It needs to cover the remaining distance in 4 hours. Find the average speed required for the remaining distance.
A river
A river flows at a speed of 5 km/h. A man can swim at 20 km/h in still water. The man starts swimming from A to B, a distance of 30 km. After reaching B, the man turns back and stops at point A. Find the total time for the round trip.
Velocity ratio 2
The ratio of the walking speeds of A and B is 2:3. If B takes 36 minutes to cover a certain distance, how long does it take A?
Temperature in Portland
On Sunday afternoon the temperature in Portland was 2 °C. By midnight the temperature had dropped by 8 °C. What was the temperature at midnight?
Journey 9
A person covers half of his journey at 40 km/h and the remaining half at 20 km/h. Find his average speed for the whole journey.
Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water are added, the ratio of alcohol to water becomes 3:4. Find the quantity of alcohol in the mixture.
A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train.
A train 6
A train covers distances of 10 km, 20 km, and 30 km at speeds of 50 km/h, 60 km/h, and 90 km/h respectively. Find the average speed of the train in km/h.
A building
A building is 125 metres tall and 80 metres long. On a scale drawing, the height of the building is 25 centimetres. What is the length of the building on the scale drawing in centimetres?
Two types of ore
A total of 42 tonnes of two types of ore is to be fed into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tonnes of copper.
Goods train
A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
A man 24
A man distributed €25,300 among his 3 sons A, B, and C such that the amounts of their portions, with 10% simple interest over 2 years, 3 years, and 4 years respectively, will be equal. What is A's share?
Train station
A man walks from his house to the station. If he walks at 5 km/h, he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the train departs. Find the distance from his house to the station.
Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share?
Doubling - simple interest
A sum of money doubles in 10 years at simple interest. Find the annual interest rate.

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