<PRE><B>Question 944976</B>
You drove 370 miles in 6 hours.
 You drove 70 mph on the highway and 45 mph on the back roads.
 How many hours did you spend on each?
:
let t = time traveling at 70 mph
the total time of the trip is 6 hrs,therfore:
(6-t) = time at 45 mph
:
Write a distance equation; dist = speed * time
:
70 mph dist + 45 mph dist = 370
70t + 45(6-t) = 370
70t + 270 - 45t = 370
70t - 45t = 370 - 270
25t = 100
t = 100/25
t = 4 hrs at 70 mph
then
6 - 4 = 2 hrs at 45 mph
:
:
Confirm this, find the actual dist at each speed
70*4 = 280 mi
45*2 = 90 mi
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total dist: 270 mi</PRE>