Problema Solution
Erin and Haley both leave the restaurant at the same time, but in opposite directions. If Haley travels 9 mph faster than Erin and after 6 hours they are 198 miles apart, how fast is each traveling?
Answer provided by our tutors
Let
v = the speed of Erin
v + 9 = the speed of Haley
t = 6 hr
d = 198 mi the distance between them
Since distance = speed*time and they travel in opposite directions we have:
vt + (v + 9)t = d
6v + 6(v + 9) = 198
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click here to see the equation solved for v
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v = 12 mph
12 + 9 = 21 mph
Erin's speed is 12 mph.
Haley's speed is 21 mph.