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# Time and Distance-1

Question 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?

Question 2

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?

Question 3

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?

Question 4

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?

Question 5

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?

Question 6

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?

Question 7

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?

Question 8

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?

Question 9

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?

Question 10

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?