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A particle travels half the distance of a straight journey with a speed 5 m/s. The remaining part of the distance is covered with speed 6 m/s for half the remaining time, and with speed 4 m/s for the other half of the remaining time. The average speed of the particle is

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`speed=30/6=5m|s*x/2+6m|s*x/4+4m|s*x/4`
`(x(5/2+6/4+4/4))/x`
`=(5/2+3/2+1)=5m|s`.
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