Question

Из населенных пунктов M и N ,удаленных друг от друга на 50 км , выехали одновременно два мотоциклиста и встретились через 30мин.Найдите скорость каждого мотоциклиста, если известно, что один из них прибыл в пункт M на 25 мин раньше, чем другой в пункт N.

Answer 1

скорость сближения равна 50 км : 0,5 ч = 100 км/ч. 
скорость первого х км/ч, тогда скорость второго (100-х) км/ч 
первый затратил времени 50:х ч, а второй 50:(100-х) ч. 
разница во времени прибытия 25 мин = 25/60 =5/12ч. 
получили ур-ние 
50:х - 50:(100-х) = 5/12. 
осталось только решить ур-ние.

Answer 2

Problem Analysis

We have two motorcyclists, one starting from point M and the other from point N, which are 50 km apart. They both start at the same time and meet after 30 minutes. We need to find the speed of each motorcyclist given that one of them arrives at point M 25 minutes earlier than the other arrives at point N.

Solution

Let's assume the speed of the motorcyclist starting from point M is v1 and the speed of the motorcyclist starting from point N is v2.

We know that the distance between M and N is 50 km, and the time it takes for them to meet is 30 minutes. We also know that one of the motorcyclists arrives at point M 25 minutes earlier than the other arrives at point N.

Let's calculate the time it takes for the motorcyclist starting from point M to reach the meeting point. Since the other motorcyclist arrives 25 minutes later, the time taken by the motorcyclist starting from point M is 30 minutes - 25 minutes = 5 minutes.

Using the formula distance = speed * time, we can write the following equations:

For the motorcyclist starting from point M: 50 km = v1 * (5/60) hours For the motorcyclist starting from point N: 50 km = v2 * (30/60) hours Simplifying the equations, we get:

For the motorcyclist starting from point M: v1 = (50 * 60) / 5 km/h For the motorcyclist starting from point N: v2 = (50 * 60) / 30 km/h Now, let's calculate the values of v1 and v2.

Calculation

Using the above equations, we can calculate the values of v1 and v2:

For the motorcyclist starting from point M: v1 = (50 * 60) / 5 = 600 km/h

For the motorcyclist starting from point N: v2 = (50 * 60) / 30 = 100 km/h

Answer

The speed of the motorcyclist starting from point M is 600 km/h, and the speed of the motorcyclist starting from point N is 100 km/h.

Please note that these speeds are calculated based on the given information and assumptions.