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A particle travels half of the time with...

A particle travels half of the time with constant speed `2 m//s,` In remaining half of the time it travels, `1/4 th` distance with constant speed of `4 m//s` and `3/4 th` distance with `6 m//s.` Find average speed during the complete journey.

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The correct Answer is:
A, C


`2t=d_1…..(i)`
`(d//4)/4+(3d//4)/6=t`
`rArr (3d)/16=t…..(ii)`
Average velocity=`("total distance")/("total time")`
`=(d_1+d_2)/(2t)=((2t+16t)/3)/(2t)`
`=11/3 m//s`
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