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

Question 64259This question is from textbook Algebra 1
: A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph takes 104 hours less to make the same trip. How far apart are the two cities? This question is from textbook Algebra 1

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
We'll let x=amount of time it takes the ship travelliing at 33mph
then x-104=amount of time it takes the plane travelling at 605mph
we'll use the formula: Distance (d)=(rate(r))(time(t)) or d=rt
we know that both the ship and the plane travel the same distance which is the distance between the two cities:
rt(ship)=rt(plane)
rt of ship is 33x and
rt of plane is 605(x-104) so our equation to solve is:
33x=605(x-104)
33x=605x-62,920 simplifying we get:
-572x=-62,920
x=110 hours is the time it takes the ship
x-104=110=104=6 hours is the time it takes the plane
rt (ship)=distance between the two cities = 33(110)=3630 miles
or
rt (plane)=distance between the two cities = 605(6)=3630 miles
Hope this helps. Happy holidays.----ptaylor

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