From points A and B towards each other From points A and B, two cars drove towards each other at the same

From points A and B towards each other From points A and B, two cars drove towards each other at the same time, which moved uniformly and without stopping. It is known that the first car went from A to B at 8 o’clock, and the second car went from B to A 9 hours. Could they meet 4 hours after check-out?

1. The distance between points A and B is equal to: S km;

2. Speed ​​of the first car: V1 = S / 8 km / h;

3. Speed ​​of the second car: V2 = S / 9 km / h;

4. Time of movement of cars: Td = 4 hours;

5. The first car will travel the distance: S1 = V1 * Td = (S / 8) * 4 = S / 2 km;

6. The second car will cover the path: S2 = V2 * Td = (S / 9) * 4 = (4 * S) / 9 km;

7. Together they drove: So = S1 + S2 = S / 2 + (4 * S) / 9 = (17 * S) / 18 km;

8. Before the meeting, they still have to drive: Sk = S – So = S – (17 * S) / 18 = S / 18 km;

9. Car meeting time: Tb = S / (V1 + V2) = S / (S / 8 + S / 9) =

S / (17 * S / 72) = 72/17 = 254 minutes = 4 hours 14 minutes.

Answer: cars will not meet in 4 hours.