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.
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