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 afte

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.​

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Bình An 3 years 2021-08-23T16:27:13+00:00 1 Answers 30 views 0

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    2021-08-23T16:28:27+00:00

    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

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