Two cars drove out simultaneously towards each other from two points, the distance between which is 600 km

| April 8, 2021 | education

Two cars drove out simultaneously towards each other from two points, the distance between which is 600 km, and met after 5 hours. Determine their speeds if one was traveling 16 km / h slower than the other.

Let the speed of the car that was moving slower x (x) km / h, then the speed of the second car: (x + 16) km / h. For 5 hours before the meeting, the first car drove: (x 5) km, and the second car covered: ((x + 16) 5) = (x 5 + 80) km. Knowing the total distance between points, we will make the equation:

x 5 + x 5 + 80 = 600;

x 10 = 600 – 80;

x 10 = 520;

x = 520: 10;

x = 52 (km / h) – the speed of the first car.

Let’s determine the speed of the second car: (x + 16) = 52 + 16 = 68 (km / h).

Answer: the speed of the first car is 52 km / h, and the second is 68 km / h.



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