Question

От одной пристани одновременно в противоположных направлениях отплыли 2 катера. Через 3 часа расстояние между ними стало ровно 168 км.Найди скорость второго катера, если известно, что скорость первого катера составляет 25 км/ч. Прошу,желательно с формулами.Учитель требует:с

Answer 1

S=vt
v1+v2=S/t
v2=S/t-v1
v2=168:3-25=31 (км/ч)- скорость второго катера

Answer 2

Problem Analysis

We are given that two boats depart from a dock simultaneously in opposite directions. After 3 hours, the distance between them is 168 km. We are asked to find the speed of the second boat, given that the speed of the first boat is 25 km/h.

Solution

Let's assume the speed of the second boat is v km/h.

The distance covered by the first boat in 3 hours is 25 km/h * 3 h = 75 km.

The distance covered by the second boat in 3 hours is v km/h * 3 h = 3v km.

The total distance between the two boats after 3 hours is the sum of the distances covered by each boat:

75 km + 3v km = 168 km

To find the speed of the second boat, we need to solve this equation for v.

Solving the Equation

Let's solve the equation step by step:

75 km + 3v km = 168 km

Subtract 75 km from both sides:

3v km = 168 km - 75 km

Simplify:

3v km = 93 km

Divide both sides by 3:

v km = 93 km / 3

Simplify:

v km = 31 km/h

Therefore, the speed of the second boat is 31 km/h.

Answer

The speed of the second boat is 31 km/h.