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: 3056
- Milk mixture
In a container, milk and water are present in the ratio 7:5. If 15 L water is added the ratio of milk and water becomes 7:8. Find the quantity of water in the new mixture. - A piece of work
12 men or 18 women can do a piece of work in 14 days, then how long 8 men and 16 women take to finish the work? - Two pipes 3
Two pipes A and B can fill a tank in 15 min and 20 min. Both the pipes are opened together. After 4 min, pipe A is turned off.What is the total time required to fill the tank? - River current
In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the current?
- Milk with water
How many liter of water to be mixed in 12 liter of milk costing Rs 40 per liter, so that it can be sold at Rs 32 per liter? - Three workers
A can do a work in 16 hours and B alone in 24 hours. If A, B and C working together can finish it in 8 hours, then C alone can finish it in how many hours? - The 5th
The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP. - A thief
A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr . How far the thief will have run before he is ove - Two parts of a run
Adam can cover a certain distance in 1 hr 24 min by covering two third at 4 km/hr and the rest at 5 km/hr. Find the total distance.
- Bus vs train 2
The average speed of a bus is three-fourth the average speed of a train. The train covers 240 km in 12 h.How much distance will the bus cover in 7 h? - A boat
A boat covers 20 km in an hour with down stream and covers the same distance in 2 h with upstream. Then, find the speed of the boat in still water and speed of stream. - Two trains 10
Two trains of lengths 75 m and 95 m are moving in the same direction at 9 m/s and 8 m/s, respectively. Find the time taken by the faster train to cross the slower train. - A car 10
A car covers a distance of 200 km in 2 h 40 min whereas a jeep covers the same distance in 2 h. What is the ratio of their speeds? - Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
- Two trains 9
A passenger train moving at speed 90 km/h leaves a station 6 hours after a goods (freight) train has left the station and overtakes it in 4 hours. What is the speed of the goods train? - A journey - 2 parts
A part of journey is covered in 1 h 40 min at 75 km/h and the remaining part of it is covered in 2 h 50 min at 60 km/h.Find the total length of the journey and average speed. - The speed 3
The speed of a boat in still water 10 km/h. If the boat goes 37.5 km upstream in 5 h, find the speed of the stream. - Compound vs simple interest
Calculate the difference between the compound interest and simple interest on 7500 USD in two years and at 8% per annum. - The reflection law
AB is a mirror, PQ is the incident ray and QR, the reflected ray. If angle PQR = 112°, find angle PQA.
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