Themes, topics - practice problems - page 5 of 168

Number of problems found: 3360

Two trains 12
Two trains 128m and 132m long are running towards each other on parallel lines at 42km/h and 30km/h respectively. In what time will they clear of each other from the moment they meet?
Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds.
The speeds
The speeds of three cars are in the ratio 2:3:4. What is the ratio of the times taken by these cars to travel the same distance?
One combine
One combine harvester can harvest a field of corn in 4.5 hours. Another harvester can harvest the same field in 3 hrs. If the farmer uses the two harvesters at the same time. How long will it take to harvest the entire field?
A tank 2
A tank can be filled by a pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?
The river
The river flows at 4 km/h. A boat can go downstream thrice as fast as upstream. Find the speed of the boat in still water.
Rasmus
Rasmus goes from station A to station B at the speed of 40km/h and returns B to A at the speed of 60 km/h. Find his average speed.
Train stops
Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes, does the train stop? Solve for distance 300 km.
The meeting
Two peoples, X and Y, start walking towards each other at 8 am at the speed of 3km/h and 4km/h . They were 17.5km apart. What time do they meet.
One hour
If a pipe can fill a tank in 5 h and another pipe can empty the tank in 10 h, if both pipes are opened simultaneously, how many parts are filled in 1 hour?
Workers
If x men can complete a work in 8 days and x+4 men can complete the same work in 6 days. Find the value of x.
A boat 2
A boat can travel with a speed of 13 km/h in still water.If the speed speed of stream is 4 km/h, then find the time taken 1) to go 68 km downstream . 2) to go 63 km upstream .
A passenger
A passenger train, 150 m long, passes a railway platform, 200 m long, in 35 seconds. Find: 1) speed of the train in km/h 2) the time taken by the train to pass a man cycling in the direction of the train at the rate of 9 km/h.
The first
The first 300 km of a journey is covered in 10/3 hours, and the remaining journey is covered in 8/3 hours at 75 km/h. Find the average speed of the whole journey.
Three pipes PPM
Pipe A can fill a tank in 20 h while pipe B can fill it in 10 h and pipe C can empty the full tank in 30 h. If all the pipes are opened together, how much time will be needed to make the tank full?
Walker
Walker A takes 3 hours more than B in walking 30 km. If A doubles his speed, he will take 2 h less than walker B. Find the speeds of walkers A and B .
Two men
2 men or 3 women can do a piece of work in 45 days. Find, in how many days 6 men and 1 women be able to complete the same work.
Sport field
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Roland takes 12 minutes for the same. Suppose they both start at the same point and at the same time and go in the same direction. After how many
Constant speed
At a constant speed, a train travels 45 miles in 60 minutes. At this rate, how far does the train travel in 12 minutes?
Milk mixture
In a container, milk and water are 7:5. If 15 L water is added, the ratio becomes 7:8. Find the quantity of water in the new mixture.

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