SOLUTION: Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse

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Question 48963: Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?
Found 2 solutions by venugopalramana, cowess:
Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website!
Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?
DISTANCE FROM R TO S =X
DISTANCE FROM S TO A =Y
X+Y=237.........TIME TAKEN = 5 HRS
TIME TO TRAVEL X = X/45
TIME TO TRAVEL Y= Y/49
TOTAL TIME
X/45 + Y/49=5
49X+45Y=5*45*49............II
49(237-Y)+45Y=49*225
4Y=49(237-225)=49*12
Y=49*3=147=DISTANCE FROMSYRACUSE TO ALBANY

Answer by cowess(34) (Show Source):
You can put this solution on YOUR website!
let's assume it's x miles from Rochester to Syracuse
and y miles from Syracuse to Albany
the question wants to know y.

we're looking for y, so let's get rid of x first
multiply both sides of the first equation by 45

subtract the first equation from the second.