From two cities, two trains left at the same time towards each other – one at a speed of 85 km / h
From two cities, two trains left at the same time towards each other – one at a speed of 85 km / h, the second at 90 km / h. The distance between the cities is 525 km. What distance did the two trains travel together if there were still 2 hours left before the meeting?
1. Let’s take as x the time after which the trains would reach the meeting point.
2. One of them would have traveled 85 kilometers during this time, the other 90 kilometers.
3. Let’s compose the equation:
85x + 90x = 525;
175x = 525;
x = 3 hours.
4. Before the meeting, the trains traveled 3 – 2 = 1 hour.
5. One of them drove 85 x 1 = 85 kilometers in 1 hour, the second 90 x 1 = 90 kilometers.
6. The total distance traveled by the trains is 90 + 85 = 175 kilometers.
Answer: The total distance traveled by the trains is 175 kilometers.