Problema Solution
Two automobiles starting from the same place & traveling in opposite directions are 432 miles apart in 6 hours. One rate is 12 mph faster than the other rate. Find the rate of each automobiles?
Answer provided by our tutors
t = 6 hr
d = 432 mi
v = the rate of the slower automobile
v + 12 = the rate of the faster automobile
Since distance = rate*time and they travel in opposite directions we can write:
v*t + (v + 12)*t = d
6v + 6*(v + 12) = 432
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click here to see the rate of the automobiles calculation
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v = 30 mph
v + 12 = 30 + 12= 42 mph
The rates of the automobiles is 30 mph and 42 mph.