Kansas City and Denver are 600 miles apart. Two cars start from these cities, traveling toward each other. They meet after 6 hours. Find the rate of each car if one car travels 30 mph slower than the other.

Question

Kansas City and Denver are 600 miles apart. Two cars start from these cities, traveling toward each other. They meet after 6 hours. Find the rate of each car if one car travels 30  mph slower than the other.

anonymous · Answer

Relative speed between cars = total distance covered / time taken = 100 mph
speed of 1 car be x then speed of other car will be x - 30 mph.
as cars travelling in opposite directions 
relative speed = sum of speed of cars = x + x - 30 = 100
therefore x = 65 mph and speed of slower car is 35 mph