Question

Из двух населённых пунктов расположенных на расстоянии 900 м друг от друга одновременно в одном направлении выехали два мотоциклиста через сколько времени на каком расстоянии от первого пункта они встретятся если скорость первого мотоциклиста 90 км/ч, а второго 72 км/ч

Answer 1

1) 90-72=18 км/ч - скорость сближения, мотоциклист со скор. 90км/ч догоняет второго, расстояние уменьшается на 18 км за час.
2) 0,9:18=9/10:18/1=9/10*1/18=9/(10*18)=1/20 ч=60/20мин=3 мин до встречи;
3) 90км/ч*1/20 ч=4,5км от 1 пункта, из которого выехал мотоц-т со скор 90 км/ч.
900м=0,9км.

Answer 2

Problem Analysis

We have two motorcyclists who start simultaneously from two different locations that are 900 meters apart. We need to determine the time it takes for them to meet and the distance from the first location where they meet. The first motorcyclist has a speed of 90 km/h, and the second motorcyclist has a speed of 72 km/h.

Calculation

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for the motorcyclists to meet: - The first motorcyclist travels at a speed of 90 km/h. The distance they need to cover to meet the second motorcyclist is 900 meters, which is equal to 0.9 km. - Using the formula, we can calculate the time it takes for the first motorcyclist to cover this distance: time = distance / speed = 0.9 km / 90 km/h.

Now, let's calculate the distance from the first location where they meet: - The second motorcyclist travels at a speed of 72 km/h. Since they start simultaneously, the time it takes for the second motorcyclist to meet the first motorcyclist will be the same as the time calculated above. - Using the formula, we can calculate the distance from the first location where they meet: distance = speed * time = 72 km/h * time.

Calculation Results

Let's calculate the time it takes for the motorcyclists to meet: - time = 0.9 km / 90 km/h = 0.01 hours.

Now, let's calculate the distance from the first location where they meet: - distance = 72 km/h * 0.01 hours = 0.72 km.

Therefore, the motorcyclists will meet after 0.01 hours (or 36 seconds) at a distance of 0.72 km from the first location.

Answer

The motorcyclists will meet after approximately 36 seconds at a distance of 0.72 km from the first location.