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: 3358
- Motorboat : current
The ratio of speeds of a motorboat to that of the current of water is 36:5. The motorboat goes along with the current in 5h 10min. Find the time to come back of the motorboat. - Walking speeding
Susan walks from her home to office at 16 km/h, she is late by 5 min. If she walks by 20 km/h, she reaches 10 min before the office time. Find the distance of her office from her house. - Common work 2
Person A works twice as fast as person B. If both of them can together finish a piece of work in 12 days then person B alone can do it in how many days? - Three legs journey
A train runs for 3 h at the speed of 40 km/h and then for 4.5 h at the speed of 60 km/h.Thus it covers 3/5th part of the whole distance. It wants to cover the remaining distance in 4 h, find the average speed of the train for remaining distance. - A river
A river is flowing at a speed of 5 km/h. A man can swim 20 km/h in still water. The man starts swimming from A to B, distance 30 km. After reaching B the man turn back and stop swimming after reaching point A . Find the total time. - Velocity ratio 2
The ratio between the rates of walking of A and B is 2:3. If the time taken by B to cover the certain distance is 36 min, then, find the time taken by 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 rest of his 20 km/h. Find his average speed of the whole journey. - Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 liters of water is added, the ratio of alcohol and water becomes 3:4. Find the quantity of alcohol in the mixture. - A train 7
A train overtakes two persons. They are walking in the same direction as the train at the rate of 2 km/hr and 4 km/hr. The train passes them completely in 9 and 10 seconds respectively. Find the length of the train. - A train 6
A train covers a distance 10km, 20km, and 30km in 50 kmph, 60 kmph and 90 kmph respectively. Find the average speed of the train (in km/h). - A building
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height of 25 centimeters. What is the length of the building on the scale drawing in centimeters? - Two types of ore
A total of 42 tons of two types of ore is to be added 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 tons of copper. - Goods train A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
- A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share? - Train station A man walks from his house to 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 departure of the train. Find the distance covered by him to reach 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 get a payment of USD 7000, what is B's share? - Doubling - simple interest
A sum becomes its double in 10 years. Find the annual rate of simple interest - Working group 20 men complete one-third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?
- The tourist
A man traveled a distance of 61 km in 9 hours. He traveled partly on foot at 4 kmph and party on bicycle at 9 kmph. Find the distance traveled on foot.
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