Question

Велосипедист выехал от дома до села со скоростью 15 км в час, а на обратном пути он ехал со скоростью 10 км в час, найти расстояние от дома до села, если время от села на обратном пути на 1 час больше чем от дома до села

Answer 1

Пусть Х - расстояние между домом и селом. 
Зная, что время от села на обратном пути на 1 час больше, чем от дома до села, составим и решим уравнение.
$\frac{x}{15} + 1 = \frac{x}{10} | *150$
$10X+150=15X$
$5X = 150$
X = 30 (км.)
Ответ: Х = 30 км.

Answer 2

Problem Analysis

We are given that a cyclist traveled from home to a village at a speed of 15 km/h and returned from the village to home at a speed of 10 km/h. The time taken for the return journey is 1 hour more than the time taken for the outward journey. We need to find the distance from home to the village.

Solution

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

The time taken for the outward journey can be calculated using the formula: time = distance / speed. So, the time taken for the outward journey is d / 15 hours.

The time taken for the return journey is 1 hour more than the time taken for the outward journey. So, the time taken for the return journey is (d / 15) + 1 hours.

We know that time = distance / speed. Using this formula, we can write an equation for the return journey: (d / 10) = (d / 15) + 1.

To solve this equation, we can multiply both sides by 30 to eliminate the denominators: 3d = 2d + 30.

Simplifying the equation, we get: d = 30.

Therefore, the distance from home to the village is 30 km.

Answer

The distance from home to the village is 30 km.