Question

Велосипедист доехал от озера до деревни и вернулся обратно,затратив на весь путь 1 час.От озера до деревни он ехал со скоростью 15 км/ч,а обратно со скоростью 10 км/ч.Чему равно расстояние от озера до деревни?

Answer 1

Пусть расстояние от О до Д х км. Время до деревни х/15 ч, время до озера х/10 ч.

х/15+х/10=1

10х+15х=150

25х=150

х=150:25

х=6 км расстояние от О до Д

Answer 2

Problem Analysis

A cyclist traveled from a lake to a village and then returned back, taking a total of 1 hour for the entire journey. The cyclist traveled from the lake to the village at a speed of 15 km/h and returned at a speed of 10 km/h. We need to find the distance from the lake to the village.

Solution

Let's assume the distance from the lake to the village is d km.

To find the distance, we can use the formula: distance = speed × time.

The time taken to travel from the lake to the village at a speed of 15 km/h is d/15 hours.

The time taken to travel from the village back to the lake at a speed of 10 km/h is d/10 hours.

According to the problem, the total time taken for the entire journey is 1 hour.

So, we can write the equation: d/15 + d/10 = 1.

To solve this equation, we can multiply both sides by the least common multiple (LCM) of 15 and 10, which is 30.

After simplifying the equation, we get: 2d + 3d = 30.

Combining like terms, we have: 5d = 30.

Dividing both sides by 5, we find: d = 6.

Therefore, the distance from the lake to the village is 6 km.

Answer

The distance from the lake to the village is 6 km.