# Two trains leave a station at the same time, traveling in opposite directions. One travels 20mph faster than the other. In 4 hours, the trains are 900 miles apart. Find the speed of each train. Let x 1

Two trains leave a station at the same time, traveling in opposite directions. One travels 20mph faster than the other. In 4 hours, the trains are 900 miles apart. Find the speed of each train.

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Two trains leave a station at the same time, traveling in opposite directions. One travels 20mph faster than the other. In 4 hours, the trains are 900 miles apart. Find the speed of each train. Let x 1
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Let x represent the speed travelled by train A,then the speed for train B will be (x+20) Time=Total Distance/(Total Speed) here time is given by 4hrs,and the total speed is equal to sum of speed for train A and B and the total distance is 900 miles 900/(x+x+20 )=4 900/(2x+20)=4 cross-multiplying gives 8x+80=900,collecting like terms and solving for x gives 8x=820 x=102.5 Therefore the speed for train A is given by 102.5mph and that of train B is 102.5+20=122.5mph Thanks hope to work with you in future

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