The highway passes through points A and B, the distance between which is 65 km.

The highway passes through points A and B, the distance between which is 65 km. A motorcycle travels at a speed of X km / h, and a truck travels at a speed of X km / h. Write down in mathematical language how long it takes for a motorcycle that left point A, a) to catch up, b) to meet a truck that simultaneously left B

Distance between points A and B, s = 65 km. The speeds of the motorcycle and the truck are also known, these are X and Y km / h. the distance that the truck has already traveled at the time of the motorcyclist’s departure, or information about the time t1 that has passed since the truck left the moment the motorcyclist started the chase. Let’s solve the problem by introducing an unknown time t for which the motorcyclist will catch up with the truck. X * t = Y * (t + t1) t = (Y * t1) / (X – Y) a) Answer: if (X * t <65) the motorcycle catches up with the truck in time t = (Y * t1) / (X – Y), elapsed since the beginning of its movement. If a motorcycle and a truck are moving towards each other, we find the unknown t from the following formula. X * t + Y * t = 65 t = 65 / (X + Y)
Answer: the meeting will take place in (65 / (X + Y)) hours.