What is the length of the train? Answer: The train crosses the pole in 9 seconds. This means that from the point when the engine or the front of the train crosses the pole to the point when the back of the train reaches the pole, we have 9 seconds. Thus we can get the length of the train by calculating the distance that the train travels in 9 seconds. Let us do it for the current example. Therefore the correct option is D meters.

Let us see some more examples that can be formulated on the basis of this concept. Example 2: A certain train is m long.

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It takes the train 10 seconds to cross the man completely. Then the speed of the train is:.

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Answer: Here we will have to use the concept of the relative speed. The relative speed of two objects is the sum of their individual speeds if they are moving opposite to each other. If the two objects are moving in the same direction, then their relative speed is equal to the difference between the two speeds. The ratio of their speeds is:.

Hence the correct option here is B In what time will it pass a bridge m long? In how much time will the train pass the jogger? He then travelled by a taxi for 30 minutes at a speed of 32 kmph to complete his journey. What is the average speed at which he travelled during the journey? A car covers four successive 6 km stretches at speeds of 25 kmph, 50 kmph, 75 kmph and kmph respectively.

## TIME AND DISTANCE QUIZ 001

Its average speed over this distance is. In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4.

A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is:. Let the speeds of A and B be 3 kmph and 4 kmph. And the distance be a common multiple e. A man cycles with a speed of 10 kmph and reaches his office at 1 p. However, when he cycles with a speed of 15 kmph, he reaches his office at 11 a. At what speed should he cycle so that he reaches his office at 12 noon? A man travelled a distance of 80 km in 7 hrs partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour. The distance travelled on the foot is.

A car driver leaves Bangalore at 8. Example A man covers a certain distance on scooter.

Find the original speed. Solution: Speed. Find the distance of his school from his house?

## A Certain Distance to Cross

Example A bus leaves Ludhiana at 5 am and reaches Delhi at 12 noon. Another bus leaves Delhi at 8 am and reaches Ludhiana at 3 pm.

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At what time do the buses meet? Required time.

## 2. Measuring Horizontal Distances

Example A man takes 6 hours 30 min. He would have lost 2 hours 10 min by going on cycle both ways. How long would it take him to go by scooter both ways? Quicker Method to solve the questions. Average Speed.