A car travel along four side of a square at speed of 200,400,600 and 800 km/hr. find average speed?
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average speed =total distance/total time
let total distance=4x
we know time=distance/speed
so total time= x/200 + x/400 + x/600 + x/800
therefore average speed =
4x/(x/200 + x/400 + x/600 + x/800)
= 4x/(12x+6x+4x+3x/2400). ie, lcm of 200, 400 ,600, 800
4x/(25x/2400)
=2400*4x/25x
2400*4/25
24*16
=384 km/h
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