[tex]\boxed {\boxed { \text {Distance = Speed x Time}}}[/tex]
First Train:
Time taken = 9 hours (2pm to 11pm)
Let the speed be x
Distance = Time x Speed = 9x
Second Train:
Time taken = 5 hours (6pm to 11pm)
Speed = x + 48
Distance = Time x Speed = 5(x + 48)
Since both the distance they traveled are the same, we equate the distance to solve for x.
Solve for x:
9x = 5(x + 48)
9x = 5x + 240
4x = 240
x = 60
Find the speed:
x = 60 mph
x + 48= 108 mph
Answer: The spend of the two trains are 60 mph and 108 mph.
