# Motion - practice problems

Word motion problems can be divided into three basic groups:1. bodies come from one place.

2. the bodies go against each other.

3. bodies move in space, e.g., after the ballistic curve, falling, etc.

The basic formula is s = v * t, i.e., the path is equal to the speed multiplied by the movement time.

#### Number of problems found: 869

- 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. - A train 2

A train 90 meters long is moving at speed 80 km/h overtakes a second train moving at 56 km/h in the same direction and passes completely in 25 1/2 seconds. Compute how long is the second train. - Parallel tracks

Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in - A man 18

A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h. If he walks 29 km in 8 hours altogether, find the value of t1 and t2, respectively. - Two towns

X and Y are two towns . A man goes from town X to town Y at an average speed of 30km/h and returns at the average speed 20km/h. Find the distance between the two towns if the man takes 10 hours on the whole.

- Mr. Stephan

Mr. Stephan cycled at an average speed of 15 km/h for 10 km. He then cycled another 12 km at an average speed of 18 km/h. Please find the total time taken for his journey. - Two places 3

The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that - Two persons

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train. - Train same direction

Find the time taken by a train 170 m long, running at the speed of 83 km/h, to cross another train 180 m running at the speed of 65 km/h in the same direction. - Bad weather

An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight.

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