From point A to point B, the distance between which is 150 km. Two trucks drove out.

From point A to point B, the distance between which is 150 km. Two trucks drove out. The speed of the first is 5/6 of the speed of the second. On the way, the second truck stopped for half an hour, but they both arrived at point B at the same time. How many hours did the first truck spend on the trip.

Let’s denote the speed of the second truck x km / h, which means that the speed of the first is 5x / 6 km / h.
According to the condition of the problem, an equation was drawn up:
150 / (5x / 6) = 150 / x + 0.5;

900 / 5x = 150 / x + 0.5;

180 / x = 150 / x + 0.5;

180 / x – 150 / x = 0.5;

30 / x = 0.5;

0.5x = 30;

x = 30 / 0.5;

x = 60;

Let’s find the time of the first truck, knowing that the speed of the second is 60 km / h:
150 / (5x / 6) = 150 / (5 * 60/6) = 3 hours;

Answer: The first truck took 3 hours to drive.