Two cars left the two cities at the same time towards each other. The speed of the first is 70 km / h

Two cars left the two cities at the same time towards each other. The speed of the first is 70 km / h, the speed of the second is 65 km / h. The first car passed 280 km before the meeting. What is the distance between cities?

Decision:

1. Let’s find the time of movement of cars before the meeting. To do this, we will use the formula:

t = s1: v1, where

t is time; s1 – distance traveled by the first car; v1 is the speed of the first car.

t = 280: 70 = 4 (h.)

2. Let’s find the distance that the second car traveled before the meeting. To do this, we will use the formula:

s2 = v2 * t, where

s2 is the distance covered by the second car, v2 is the speed of the second car; t is time.

s2 = 65 * 4 = 260 (km)

3. Now we can find the distance between cities:

s = 280 + 260 = 540 (km)

Answer: the distance between cities is 540 km.