The distance between cities A and B is 700 km. A car drives from city A to city B at a speed of 80 km / h.

The distance between cities A and B is 700 km. A car drives from city A to city B at a speed of 80 km / h. Two hours later, a truck drives out to meet him from city B to city A at a speed of 40 km. How long will it take after the truck leaves for them to meet? At what distance from city A will the meeting take place? What is the distance between cars 5 hours after the truck leaves?

1. Accepted for x time after the departure of the truck from city B, after which the meeting of cars will take place.

2. Let’s compose the equation:

40x + 80 (x + 2) = 700;

120x = 540;

x = 4.5 hours.

4. We calculate the distance from the city A, where the meeting of cars took place:

80 x (4.5 + 2) = 520 km.

5. We calculate the distance between them after 5 hours:

40 x 5 – (700 – 80 x 7) = 60 km.

Answer: the meeting took place in 4.5 hours at a distance of 520 km from city A; in 5 hours there will be 60 km between cars.