Question

Из города в село со скоростью 60км/ч выехал мотоциклист. Через пол часа из села в город выехал второй мотоциклист со скоростью 50км/ч. Через какое время мотоциклисты встретятся, если расстояние от города до села 162 км?

Answer 1

1/2*60=30км расстояние который проедет мотоциклист за пол часа
162-30=132 км
60+50=110 км/ч общая скорость
132:110=1,2 часа едет каждый
1,2+0,5=1,7 часа

Answer 2

Problem Analysis

We are given that a motorcyclist leaves a city and travels to a village at a speed of 60 km/h. After half an hour, another motorcyclist leaves the village and travels to the city at a speed of 50 km/h. We need to determine how long it will take for the motorcyclists to meet if the distance between the city and the village is 162 km.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's calculate the time it takes for the first motorcyclist to reach the meeting point.

The distance traveled by the first motorcyclist in half an hour is:

Distance = Speed * Time

Substituting the given values:

Distance = 60 km/h * 0.5 h = 30 km

Now, let's calculate the time it takes for the second motorcyclist to reach the meeting point.

The distance traveled by the second motorcyclist is:

Distance = 162 km - 30 km = 132 km

Using the formula:

Time = Distance / Speed

Substituting the values:

Time = 132 km / 50 km/h = 2.64 h

Therefore, the motorcyclists will meet after approximately 2.64 hours.

Answer

The motorcyclists will meet after approximately 2.64 hours.