Two cars leave a town at the same time heading in opposite directions. one car is traveling 12 mph faster than the other. after 2 hours, they are 232 miles apart. what is the speed of each car?

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 ) =   = 116

                  2x + 12 = 116

                  2x = 116 - 12

                 2x = 104

                  x =  

                   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.

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