Question

За 6 часов мотоциклист проезжает то же расстояние,что и велисопедист за 10 часов.Скорость велосипедиста на 12 км/ч меньше скорости мотоциклиста .Найти скорость мотоциклиста

Answer 1

Пусть х - скорость велосипедиста
тогда х +12 - скорость мотоциклиста
За 6 часов каждый из них проезжает:
х*10 = S
(x+12) *6 = S
Cледовательно:
х * 10 = (х+12) *6
10х - 6х = 72
4х = 72
х = 18 км/ч
скорость мотоциклиста 121+18 = 30 км/ч

Answer 2

Problem Analysis

We are given that a motorcyclist can cover the same distance in 6 hours as a cyclist can cover in 10 hours. The speed of the cyclist is 12 km/h less than the speed of the motorcyclist. We need to find the speed of the motorcyclist.

Solution

Let's assume the speed of the motorcyclist is x km/h.

According to the given information, the speed of the cyclist is 12 km/h less than the speed of the motorcyclist. Therefore, the speed of the cyclist is (x - 12) km/h.

We know that distance = speed × time.

The distance covered by the motorcyclist in 6 hours is 6x km, and the distance covered by the cyclist in 10 hours is 10(x - 12) km.

Since both distances are the same, we can equate them and solve for x.

Calculation

Equating the distances covered by the motorcyclist and the cyclist:

6x = 10(x - 12)

Simplifying the equation:

6x = 10x - 120

Rearranging the equation:

4x = 120

Dividing both sides by 4:

x = 30

Answer

The speed of the motorcyclist is 30 km/h.