SOLUTION: Would you be able to help me with the following question? if i drive to the railway station at 80 km-1 i will be 15 min late for my train. If I drive at 110 km h-1 i will be 10

Question 1026221: Would you be able to help me with the following question?
if i drive to the railway station at 80 km-1 i will be 15 min late for my train. If I drive at 110 km h-1 i will be 10 minutes early. How far do I live from the station?
Thanks,
Bob
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hours that
will make you arrive on time
Let = your distance in miles
from the station
------------------
Equation for arriving late:
(1)
Equation for arriving early:
(2)
-----------------------
( note that I converted minutes to
fractions of an hour )
Substitute (1) into (2)
(2)
Divide both sides by
(2)
(2)
(2)
(2)
(2)
------------------
Plug this result back into either equation
to get
(1)
(1)
(1)
(1)
(1) mi
You live 122.222 mi from station
------------------
check answer:
(2)
(2)
(2)
(2)
OK
Hope I got it -you might want a 2nd opinion
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