the average speed of 20km/hr,16km/hr,12km/hr?
20*16*12/20+16+12=80
the average is 16
how?
20 + 16 + 12 = 48/3 = 16
well i got 3 because there are 3 numbers
nope
I think you need to do below : average speed = \[\large \dfrac{3(20*16*12)}{12*16 + 16*12 + 12*20}\]
http://www.wolframalpha.com/input/?i=3*%2820*16*12%29%2F%2820*16%2B16*12%2B12*20%29
|dw:1406109660723:dw|
say you have travelled first 1/3rd of distance at 20km/hr next 1/3rd of distance at 16km/hr and the last 1/3rd of distance at 12 km/hr
then, total distance = d/3 + d/3 + d/3 = d
time taken while covering first 1/3rd of distance = \(\large \dfrac{d/3}{20}\) time taken while covering second1/3rd of distance = \(\large \dfrac{d/3}{16}\) time taken while covering last /3rd of distance = \(\large \dfrac{d/3}{12}\)
yes exACTLY @ganeshie8
so total time taken for covering a distance of "d" = \(\large \dfrac{d/3}{20} + \dfrac{d/3}{16} + \dfrac{d/3}{12} \)
average speed = (total distance)/(total time) = \(\large \dfrac{d}{\dfrac{d/3}{20} + \dfrac{d/3}{16} + \dfrac{d/3}{12}} \)
= \(\large \dfrac{1}{\dfrac{1/3}{20} + \dfrac{1/3}{16} + \dfrac{1/3}{12}} \)
= \(\large \dfrac{3}{\dfrac{1}{20} + \dfrac{1}{16} + \dfrac{1}{12}} \)
you can simplify
15.31
rounds to 15.32 :) http://www.wolframalpha.com/input/?i=3*%2820*16*12%29%2F%2820*16%2B16*12%2B12*20%29
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