SOLUTION: A long distance trucker traveled 120 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time.

Question 324375: A long distance trucker traveled 120 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time. Find the speed going.
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
"A long distance trucker traveled 120 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 2 hours less time. Find the speed going."
snow and rain in one trip? wow that is nasty
...
D distance = R rate * T time
let R = rate going and let 2R = rate returning since that was done at double the speed
let T = time in hours going and let T - 2 = hours returning since that was done in 2 hours less time
D distance = 120 miles
...
120 = R*T = 2R * (T - 2)
in 2R * (T - 2) substitute in 120/T in for R
120 = 2 * (120/T) * (T - 2)
60 = (120/T) * (T - 2) (divided both sides by 2)
60T = 120 * (T - 2) (multiplied both sides by T)
60T = 120T - 240
-60T = -240
60T = 240 (divided by -1)
T = 4 hours ... it takes 4 hours to go
T - 2 = 2 hours ... it takes 2 hours to return
...
plug in 4 hours for T and solve for R in 120 = R*T
120 = R * 4 = 4R
-4R = -120
4R = 120 (divided by -1)
R = 30 mph ... 30 mph to go
2R = 60 mph ... 60 mph to return

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