algebra questions?

Question

The questions are:

A train leaves a city heading west and travels at 50 mph. Three hours later, a second train leaves from the same place and travels in the same direction at 65 mph. How long will it take for the second train to overtake the first train?


The second question:

A ship travels from New York to Southhampton, England at 33 mph. A plane traveling at 605 mph takes 104 hours less time to make the same trip. How far apart are the two cities?


I need to show all work.
Thank you much!

Answer 1

first question
1st train d=50t
2nd train d=65(t-3)

so 50t=65t-195
-15t=-195
t=13 hours

second question
ship d=33t
plane d=605(t-104)

so 33t=605t-62920
-572t=-62920
t=110
now find distance
d=33(110)=3630 miles

Answer 2

the train travels 3x50 = 150 miles in three hours

the second train catch up 65-50=15 miles an hour
so it takes 150/15 = 10 hrs.


Let x be the time the plane takes
605x = 33(x+104)
x = 6
distance = 3630 mi

Answer 3

We can do it in 2 ways. easy way is, Let x be the hours plane take. 605x=33(x+104)
x=6 and distance is 605*6=3630mi
Let x be the time ship takes to reach Southampton
Another way,33x=605(x-104)
62920=572x
Distance= 110*33=3630