SOLUTION: a truck travels 20 mph faster than a train. in the same amount of time that the train travels 160 miles, the truck travels 240 mile. find the speed that each is traveling

Question 956916: a truck travels 20 mph faster than a train. in the same amount of time that the train travels 160 miles, the truck travels 240 mile. find the speed that each is traveling
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
r=rate of train
160mi/r=240mi/(r+20mph) Cross multiply.
160mi(r+20mph)=240r mi
160r mi+3200mi^2/hr=240r mi Subtract 160r mi from each side.
3200mi^2/hr=80r mi Divide each side by 80 mi
40 mi/hr=r ANSWER 1: The train was traveling at 40 mi/hr.
40 mi/hr+20 mi/hr=60 mi/hr ANSWER 2: The truck was traveling 60 mi/hr.
CHECK:
160 mi/40 mph=240 mi/60mph
4 hours=4 hours
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