The speed of a passanger train is 6 mph faster than a freight train.
The passanger train travels at 290 miles in the same time it takes the freight train to travel 260 miles.
Find the speed of each train.
Passanger?
Freight?

Question

anonymous · Answer

speed of
Passenger Train =P
Frieght Train=F

F+6=P

anonymous · Answer

P*t=290
f*t=260

anonymous · Answer

good from here?

anonymous · Answer

Nope

anonymous · Answer

P*t=290
f*t=260

so we have to find p , and f

anonymous · Answer

we can rewrite p in terms of f
p=f+5
(f+5)t=290
ft+5t=290

anonymous · Answer

we know what ft is
ft=260
5t=290-ft
5t=30
t=6

anonymous · Answer

Let p be the speed of the passenger train.  Solve the following simultaneous equations for p and t:$$\{p*t =290,(p-6)*t=260\} $$$$\{p\to 58,t\to 5\} $$Passenger Train speed = 58 mph
Freight Train speed      = 52 mph