Question

Two cars leave town at the same time and travel in opposite directions. Speed of car A is 12 km/h more than car B. They are 312km apart after 4 hours. Find the speed of each car.​

Answer 1

Answer:

Speed of car B is 33 km/h and speed of car A is $45\,\,km/h$

Step-by-step explanation:

Let speed of car B be $x$ km/h

Speed of car A is 12 km/h more than car B.

Therefore,

Speed of car A = $(12+x)$ km/h

Distance = Speed × Time

Distance travelled by car A in 4 hours = $4(12+x)$ km = $(48+4x)$ km

Distance travelled by car B in 4 hours = $4x$ km

Also, cars A and B are 312km apart after 4 hours.

$48+4x+4x=312\\48+8x=312\\8x=264\\\\x=\frac{264}{8}\\\\x=33\,\,km/h$

Speed of car B is 33 km/h and speed of car A is $12+x=12+33=45\,\,km/h$