In a 1000 m linear race, X beats Y by 100 m or 10 seconds. What is the difference between the speed of X and Y in m/s?

Question of The Day02-07-2023

Answer

Correct Answer : b ) 10/9

Explanation :

In the question, X beats Y by 100 m or 10 seconds.

It means X is at the finish line and Y is 100 m behind or Y reaches the finish line 10 seconds after X or it can be said that Y will cover the 100 m of distance in 10 seconds.

The whole situation can be depicted in the diagram below:

Time Speed and Distance - X beats Y by 100 metres or 10 seconds

The speed of Y = 100m/10 s = 10 m/s

Time taken by Y to cover 900 m = 900/10 = 90 seconds

In 90 seconds, X covers 1000 meters

Speed of X = 1000/90 = 100/9 m/s

The difference in speed of X and Y = 100/9 - 10 = 10/9 m/s

Hence, (b) is the correct answer.

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