Question

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?

Answer 1

one is going 52 and the other 64
2 (x)+2 (x+12)=232 and solve

Answer 2

Speeds of two cars will be 52 mph and 64 mph.

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 ) =
`(232)/(2)` = 116

2x + 12 = 116

2x = 116 - 12

2x = 104

x =
`(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.