Time and Speed Formula for Competitive Exams

Two guns were fired from the same place at an interval of 13 minutes but a person in a train approaching the place hears the second shot 12 minutes 30 seconds after the first. Find the speed of train if sound travels at 330 metres per second.

The speed of a train varies inversely with its length. A 200 meters long train runs at a speed of 60 km/hr. In how much time will a 500 meters long train cover 96 km?

A and B are 2 cities 60 Km. apart. Two men P and Q start together to walk from A to B. Speed of P is 4 Km / hr. less than that of Q. Q reaches the city B and return back . He meets P at 12 Km away from city B. What is the speed of P? 

A train travels the distance between station P and Q at a speed of 126 km/h, while in the opposite direction it comes back at 90 km/h. Another train travels the same distance at the average speed of the first train. The time taken by the second train to travel 525 km is:

À train consists of 12 bogies, each bogie is 15 m long. The train crosses a telegraph post in 18 s. Due to some problem, two bogies were detached. The train now cresses the telegraph post in 

A kinetic Honda covers a distance of 140 km in 2 hours and 20 minutes while a car covers the same distance in 1 hour and 40 minutes. What is the ratio of their speeds?

Ramu sees a train passing over a 1 km long bridge. The length of the train is half that of the bridge. If the train clears the bridge in 2 min, the speed of the train is – 

A rises from his house at 12 noon towards B’s house at a speed of 8 km/hour. After 1 hour, B rides from his house towards A’s at a speed of 7 km/hour. If the distance between the two houses is 68 km, the time when they meet is

A train after travelling 150 Km. meets with an accident and then proceeds with 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 Km. farther, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

Travelling at 60 km/h, a person reaches his destination in certain time. He covers 60% of his journey in 2/5^th of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time ?