SOLUTION: A ship leaves a harbour travelling at 25 km/h ,15 minutes later another ship leaves travelling at 28 km/h. How long will it take the second ship to catch up to the first? Please,pl

Question 878621: A ship leaves a harbour travelling at 25 km/h ,15 minutes later another ship leaves travelling at 28 km/h. How long will it take the second ship to catch up to the first? Please,please help I worked it out and got 2 hours and 25 minutes but I don't know if it is right.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How much of a head start does the 1st ship have?
min = hr

km
-------------------
Start a stopwatch when the 2nd ship leaves
Let = the time in hrs on the stopwatch when
the 2nd ship catches the 1st ship
Let = the distance the 2nd ship travels
until it catches the 1st ship
------------------------
Equation for the 1st ship:
(1)
Equation for the 2nd ship:
(2)
----------------
Substitute (2) into (1)
(1)
(1)
(1)
Convert hrs to min
min
The 2nd ship will catches the 1st
in 2 hrs 5 min
-------------------
check:
(2)
(2)
(2) km
and
(1)
(1)
(1) km
OK

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