Carter left town A at 8 a.m driving toward town B at an average speed of 60 mph. At 8:30 a.m, Mihn headed from town B to town A along the same road. At 11 a.m, they met each other along the way and Carter realized that he had completed 80% of his journey. A) How far was Town A from Town B? B)At what speed was Mihn traveling?
3 answers
I got 500 miles for A)
C drives for 3 hours to meet M
M drives for 2.5 hours to meet C
Distance C = 60 * 3 = 180
Distance M = s(2.5) = 2.5 s
but we know 180 = .8 d
so
d = 225 (not 500)
distance M = .2 (225) = 45 miles
so s = 45/2.5 = 18 mph
===================
check
60 * 3 = 180
18 * 2.5 = 45
total miles = 180 + 45 = 225
.8 * 225 = 180
.2*225 = 45
M drives for 2.5 hours to meet C
Distance C = 60 * 3 = 180
Distance M = s(2.5) = 2.5 s
but we know 180 = .8 d
so
d = 225 (not 500)
distance M = .2 (225) = 45 miles
so s = 45/2.5 = 18 mph
===================
check
60 * 3 = 180
18 * 2.5 = 45
total miles = 180 + 45 = 225
.8 * 225 = 180
.2*225 = 45
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