Two cars simultaneously left two points to meet each other. The first car covers this distance in 3 hours

Two cars simultaneously left two points to meet each other. The first car covers this distance in 3 hours, and the second in 6 hours. In how many hours will they meet?

1. Distance between points: S km;

2. The first car covers this distance in time: T1 = 3 hours;

3. The second car will cover the entire distance in time: T2 = 6 hours;

4. Relative speed of the first car: V1 = S / T1 = S / 3 km / h;

5. Relative speed of the second car: V2 = S / T2 = S / 6 km / h;

6. The total speed of the two cars is: V = V1 + V2 =

S / 3 + S / 6 = S * (1/3 + 1/6) = S * (1/2) km / h;

7. See you in time for cars: T hour;

T = S / V = S / (S * (1/2)) = 2 hours.

Answer: the cars will meet in 2 hours.