Question

The sum of the speeds of two trains is 725.2 miles per hour. If the speed of the first train is 10.8 mph faster than the second train, find the speed of each.

Answer 1

your answer
1st. train speed is 286,
2nd train speed is 357.3

Answer 2

x=first train speed
y=second train speed

sum of speeds is 725.2
x+y=725.2

x is 10.8 more than y
x=10.8+y

subsitute 10.8+y for x


10.8+y+y=725.2
10.8+2y=725.2
minus 10.8 from both sides
2y=714.4
divide both sides by 2
y=357.2
x=10.8+y
x=10.8+375.2
x=386


the speed of first train is 386mph
second train is 357.2mph