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

| January 12, 2021 | education

Two cars drove out simultaneously towards each other from two points, the distance between which is 600 km, and met 5 hours later. One of them was driving 16 km. faster than the other. Determine the speed of the cars.

Method 1:
Let’s find the speed of convergence of cars:
1) 600: 5 = 120 (km / h)
2) Let’s denote by x km / h the speed of one of the cars, then the speed of the other will be (x + 16) km / h:
x + (x + 16) = 120
2x + 16 = 120
2x = 104
x = 52.
3) 52 + 16 = 68 (km / h) – speed of the second car

Method 2:
Because one of the motorists was driving faster than the other, which means that in 5 hours he traveled more distance by:
1) 16 * 5 = 80 (km)
So they traveled the rest of the way the same:
2) 600 – 80 = 520 (km)
3) 520: 2 = 260 (km) – the distance of the car that was driving slower
4) 260: 5 = 52 (km / h)
5) 52 + 16 = 68 (km / h) – speed of the second car
Answer: vehicle speeds are 52 km / h and 68 km / h.



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