Question

Из поселка одновременно в противоположных направлениях выехали велосипедист и мотоциклист. Скорость велосипедиста равна 12 км в час, что в 3 раза меньше скорости мотоциклиста . Чему равно расстояние S между ними через t часов после выезда? Запишите ответ в виде формулы и упростите ее. Через сколько часов расстояние между ними будет равно 144 км?

Answer 1

Скорость велосипедиста равна 12 км в час

Скорость мотоциклиста равна 12*3=36 км в час 

S=12t+36t или S=(12+36)t или S=48t

если S=144 км то

144=48t

t=144/48

t= 3 часа

 

Answer 2

Problem Analysis

We are given that a cyclist and a motorcyclist start simultaneously from a village in opposite directions. The speed of the cyclist is 12 km/h, which is 3 times slower than the speed of the motorcyclist. We need to find the distance between them after t hours and the time it takes for the distance between them to be 144 km.

Distance between the Cyclist and Motorcyclist after t hours

Let's assume that the speed of the motorcyclist is v km/h. According to the problem statement, the speed of the cyclist is 3 times slower than the speed of the motorcyclist. Therefore, the speed of the cyclist can be expressed as v/3 km/h.

To find the distance between them after t hours, we can use the formula:

Distance = Speed × Time

For the cyclist, the distance traveled after t hours is (v/3) × t km.

For the motorcyclist, the distance traveled after t hours is v × t km.

Since they are traveling in opposite directions, the total distance between them after t hours is the sum of the distances traveled by the cyclist and the motorcyclist:

S = (v/3) × t + v × t

To simplify this equation, we can factor out t:

S = t × (v/3 + v)

Simplifying further:

S = t × (4v/3)

Therefore, the distance between the cyclist and the motorcyclist after t hours is given by the formula:

S = (4v/3) × t

Time for the Distance to be 144 km

To find the time it takes for the distance between them to be 144 km, we can set the distance S equal to 144 km and solve for t:

144 = (4v/3) × t

To solve for t, we can rearrange the equation:

t = 144 × (3/4v)

Therefore, the time it takes for the distance between the cyclist and the motorcyclist to be 144 km is given by the formula:

t = 108/v

Answer

The distance between the cyclist and the motorcyclist after t hours is given by the formula:

S = (4v/3) × t

The time it takes for the distance between them to be 144 km is given by the formula:

t = 108/v

Please note that the value of v is not provided in the problem statement, so we cannot calculate the exact values of S and t without knowing the speed of the motorcyclist.

Let me know if there is anything else I can help you with!