SOLUTION: If a train travels at the speed of 45 km/hr, it is late by 48 minutes. If it travels 50 km/hr it arrives exactly on time. What is distance the train is traveling (in km)?

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Question 522686: If a train travels at the speed of 45 km/hr, it is late by 48 minutes. If it travels 50 km/hr it arrives exactly on time. What is distance the train is traveling (in km)?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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If a train travels at the speed of 45 km/hr, it is late by 48 minutes.
If it travels 50 km/hr it arrives exactly on time.
What is distance the train is traveling (in km)?
:
let d = the distance traveled
then
d%2F50 = the time to arrive on time
and
d%2F45 = the time to be 48 min late
:
Convert 48 min: 48%2F60 = .8hrs
:
slower time - ideal time = .8 hrs
d%2F45 - d%2F50 = .8
multiply by 450
450*d%2F45 - 450*d%2F50 = 450(.8)
cancel the denominators, results:
10d - 9d = 360
d = 360 miles is the distance
;
:
:
Check this by finding the times
360/45 = 8.0 hrs, late
360/50 = 7.2 hrs. on time
-----------------
differs: .8 hrs which is 48 min