Answer:
Speeds of two cars will be 52 mph and 64 mph.
Step-by-step explanation:
Two cars leave a town at same time.
Speed of one car = 12 mph faster than other.
Let the speed of other car is x.
then speed of first car = (x+12)
After 2 hours they are 232 miles apart.
Distance traveled by first car in 2 hours = 2x miles
Distance traveled by second car in 2 hours = 2( x+12 ) miles
Therefore, 2x + 2 (x+12) = 232
x = ( x + 12 ) = \(\frac{232}{2}\) = 116
2x + 12 = 116
2x = 116 - 12
2x = 104
x = \(\frac{104}{2}\)
x = 52 miles/hour
Speed of the first car = x + 12
= 52 + 12
= 64 mph
Speeds of two cars will be 52 mph and 64 mph.
