Problema Solution
Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 300 miles apart in 3 hours. How fast is each car traveling?
Answer provided by our tutors
let
v = the speed of the slower car
v + 10 = the speed of the faster car
t = 3 h the time of the travel
d = 300 mi the total distance that the cars will travel
since speed = distance/time => distance = speed*time
v*t + (v + 10)*t = 300
10v + (v + 10)*10 = 300
by solving we find
v = 10 mph
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v + 10 = 10 + 10 = 20 mph
one car is traveling with speed of 10 mph the other car is traveling with speed of 20 mph.