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In a to and fro journey between P and Q , two persons A and B start travelling towards each other simultaneously from P and Q respectively with speeds 200m/s and 800m/s. Whenever they meet or overtake they shake hands and continue towards their destinations.If the distance between P and Q is 1000m, find the total number of handshakes in 1 min ?
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In a to and fro journey between P and Q , two persons A and B start tr...
Problem Statement


Two persons A and B start travelling towards each other simultaneously from P and Q respectively with speeds 200m/s and 800m/s. Whenever they meet or overtake they shake hands and continue towards their destinations. If the distance between P and Q is 1000m, find the total number of handshakes in 1 min?


Solution


Distance Calculation


The distance travelled by A and B when they meet each other is equal to the total distance between P and Q. Hence, the total distance travelled by A and B during the entire journey is twice the distance between P and Q.


Total distance travelled by A and B = 2 * 1000m = 2000m


Relative Speed


The relative speed between A and B is the sum of their individual speeds as they are travelling towards each other.


Relative speed = 200m/s + 800m/s = 1000m/s


Time Taken to Meet


Time taken by A and B to meet each other can be calculated using the formula:


Time = Distance / Relative Speed


Time taken by A and B to meet each other = 2000m / 1000m/s = 2s


Number of Handshakes


Both A and B shake hands when they meet each other. Hence, the number of handshakes that will take place during the entire journey is equal to the number of times A and B meet each other.


If they meet each other every 2 seconds, then they will meet each other 30 times in 1 minute.


Answer


The total number of handshakes in 1 minute is 30.
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In a to and fro journey between P and Q , two persons A and B start travelling towards each other simultaneously from P and Q respectively with speeds 200m/s and 800m/s. Whenever they meet or overtake they shake hands and continue towards their destinations.If the distance between P and Q is 1000m, find the total number of handshakes in 1 min ?
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