Q.

A particle traversed half the distance with speed of 1m/s. the remaining part of the distance was covered with speed of 2 m/s for half time, and with speed of 3m/s for other half of the time. If the mean speed of the particle averaged over the whole time of motion is  10xm/s  then x = ……………..

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answer is 7.

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Detailed Solution

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Avg. speed =  yy2+2Z2
Also  Z2=y/2Z35Z=y
  avg. speed  =yy2+y5=107=10x

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