Time and Distance-1

A train of length 120 m crosses the platform in 21 seconds. If the speed of train is 54km/hr. Find the length (in m) of platform?

A train covered half of journey at the rate of 45 km/hr and remaining at the rate of 54 km/hr. Find the average speed (in km/hr) of the train for the entire journey? 

Two men starting cycling from the same point in the opposite direction at the speed of 7 km/hr and 12 km/hr. How far (in km) they will be from each other after 45 minutes?

Two friends A and B started moving from point X towards Y in two different/same direction(s). If the speed of A is 5 km/hr and B is 7 km/hr and the time taken by B is 12 minutes less than time taken by A to reach point Y, then what is the time (in minutes) taken by A?

A train of length 150 m is running at the speed of 36 km/hr. What is the time taken (in seconds) by the train to cross the man standing on the platform of length 200m?

The house of student faces in the South direction. He starts moving from his house at the speed of 15 km/hr after moving for 1500 m he took left and continues moving for 800 m to reach his school. How much time (in minutes) would be saved by him to reach his school, if he goes through the shortest distance at the same speed?

Two trains of equal length are running in the same direction at the speed of 55 km/hr and 66 km/hr. If the faster train crosses the slower train in 36 seconds, then find the length of each train?

The distance between two stations A and B is 522 km. One train at the speed of 54 km/hr starts from station A at 2 : 00 pm towards station B and another train at the speed of 45 km/hr starts from station B towards station A at 2 : 30. At what time will they meet each other?

A boat can travel 15 km downstream and return to the starting point in 4 hours. If the speed of the stream is 2 km/hr, then find the speed (in km/hr) of the boat in still water?

The ratio of speeds of two cars is 4 : 7 and ratio of time taken by them is 6 : 5. Find the ratio of distance covered by them?