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Q.

A horse rider covers half the distance with 5 m/s speed. The remaining part of the distance was travelled with speed 10 m/s for half the time and with speed 15 m/s for other half of the time. The mean speed of the rider averaged over the whole time of motion is 50x m/s. The value of x is:

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answer is 7.

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Detailed Solution

Question Image 
In month BC
x=d1+d2 
Where, d1 and d2 are the distance travelled with 10 m/s and 15 m/s respectively in equal time intervals 't'2 each. 

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