Question

От двух пристаней на реке Волге отошли одновременно навстречу друг другу катер и катамаран и встретились через 3 ч.Скорость катамарана 15 км/ч,скорость катера в 4 раза больше.Найдите расстояние между пристанями.

Answer 1

15*4=60(км/ч)-скорость катера 15+60=75(км/ч)-общая скорость 75*3=225(км) Ответ: 225 км-расстояние между пристанями

Answer 2

Problem Analysis

We are given that a boat and a catamaran departed from two different piers on the Volga River and met each other after 3 hours. The catamaran's speed is 15 km/h, and the boat's speed is 4 times greater than that of the catamaran. We need to find the distance between the piers.

Solution

Let's assume the distance between the piers is d km.

We can calculate the distance traveled by the catamaran in 3 hours using the formula:

Distance = Speed × Time

For the catamaran, the distance traveled is 15 km/h × 3 h = 45 km.

Since the boat's speed is 4 times greater than that of the catamaran, the boat's speed is 15 km/h × 4 = 60 km/h.

Now, let's calculate the distance traveled by the boat in 3 hours:

Distance = Speed × Time

For the boat, the distance traveled is 60 km/h × 3 h = 180 km.

Since the boat and the catamaran met each other after 3 hours, the sum of their distances traveled should be equal to the distance between the piers:

Distance traveled by the catamaran + Distance traveled by the boat = Distance between the piers

45 km + 180 km = d km

225 km = d km

Therefore, the distance between the piers is 225 km.

Answer

The distance between the two piers on the Volga River is 225 km.