SOLUTION: The smiths travel form their home to Disney,a total of 850 miles over 2 days. If on the first day the average. Speed 55 MPH and the second day 65 MPH and total driving time was 15

Question 467024: The smiths travel form their home to Disney,a total of 850 miles over 2 days. If on the first day the average. Speed 55 MPH and the second day 65 MPH and total driving time was 15 hours. Label your variables and set system of equations to determine the time traveled on day one.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The smiths travel form their home to Disney,a total of 850 miles over 2 days. If on the first day the average. Speed 55 MPH and the second day 65 MPH and total driving time was 15 hours. Label your variables and set system of equations to determine the time traveled on day one.
--------------------
t1 = time driving the 1st day
f = speed 1st day = 55 mph
s = distance 1st day
d = distance general
---------
d = rt
t = d/r
---------
15 = s/55 + (850-s)/65
Multiply thru by 55*65 = 3575, to eliminate fractions
15*3575 = 65s + 55*(850-s) = 65s - 55s + 46750
53625 = 10s + 46750
10s = 6875
s = 687.5 miles
t1 = 687.5/55
t1 = 12.5 hours the 1st day
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