Question 620162
for Carlos and maria drove a total of 258 miles in 5 hours.
 Carlos drove the first part of the trip and averaged 53 miles per hour.
 maria drove the remainder of the trip and averaged 51 mph.
 how many hours did maria drive ?
:
Let t = no. of hrs driven by M
then
(5-t) = no. of hrs driven by C
:
Write a distance equation, dist = speed * time
:
M's dist + C's dist = 258
51t + 53(5-t) = 258
51t + 265 - 53t = 258
51t - 53t = 258 - 265
-2t = -7 hrs
t = {{{(-7)/(-2)}}}
t = 3.5 hrs driven by M
:
:
Check our solution find the distance driven by each (C drove 5-3.5 = 1.5 hrs)
3.5 * 51 = 178.5 mi
1.5 * 53 =  79.5
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total dist: 258.0