Question 488673
A long distance trucker traveled 180 miles in one direction during a snow storm. The return trip in rainy weather was accompolished at double spped and took 3 hours less time. Find the speed going?

The speed going was ____mph


Let the trucker’s speed in the snow storm be S
Then time taken to do the trip in the snow storm  = 180/S


The trucker’s speed on the return trip = 2S (double the speed in the snow storm)
Then the time taken to do the return trip = 180/2S, or 90/S


Since the trip in the snow storm took longer than the trip in the rain, then we can say that:


180/S – 3 = 90/S
180 – 3S = 90 ------- Multiplying by LCD, S
– 3S = - 90


S, or speed in snow storm = {{{(- 90)/- 3}}} or {{{highlight_green(30_mph)}}}


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