Question

Из Ташкента и Самарканда вылетели одновременно навстречу друг другу два ковра-самолета. Скорость ковра-самолета была 140км/ч, скорость второго - 260 км/ч. первый пролетел до встречи 700км. Какое расстояние преодолел второй?

Answer 1

Пусть $\frac{ s_{1}}{ v_{1}}=\frac{ s_{2}}{ v_{2}}, s_{2} = \frac{s_{1}*v_{2}}{v_{1}} ;$- время, потраченное первым ковром, а $t_{2} = \frac{ s_{2}}{ v_{2}}$ - вторым. Известно, что оба ковра летели одинаковое количество времени. Тогда $t_{1}=t_{2}$, $\frac{ s_{1} }{v_{1}} = \frac{ s_{2} }{v_{2}};$
$v_{2} =( v_{1}* s_{2})/ s_{1}.$
$v_{2}=(140*260)/700=52.$ 
Ответ: 52.

Answer 2

Problem Analysis

We are given that two carpet-planes took off simultaneously from Tashkent and Samarkand and flew towards each other. The speed of the first carpet-plane is 140 km/h, and the speed of the second carpet-plane is 260 km/h. We are also given that the first carpet-plane flew a distance of 700 km before they met. We need to find the distance traveled by the second carpet-plane.

Solution

To find the distance traveled by the second carpet-plane, we can use the formula:

Distance = Speed × Time

Let's assume that the time taken for the two carpet-planes to meet is 't' hours. Since the first carpet-plane flew a distance of 700 km, the second carpet-plane must have traveled the remaining distance to meet the first carpet-plane.

The distance traveled by the first carpet-plane is given by:

Distance1 = Speed1 × Time

The distance traveled by the second carpet-plane is given by:

Distance2 = Speed2 × Time

Since the two carpet-planes are flying towards each other, the sum of their distances traveled should be equal to the total distance between Tashkent and Samarkand, which is 700 km.

Distance1 + Distance2 = 700

Substituting the values of Distance1 and Distance2, we get:

(Speed1 × Time) + (Speed2 × Time) = 700

Simplifying the equation, we have:

Time × (Speed1 + Speed2) = 700

Solving for 't', we get:

t = 700 / (Speed1 + Speed2)

Now, we can substitute the values of Speed1 and Speed2 to find the value of 't'.

Finally, we can find the distance traveled by the second carpet-plane by multiplying the time 't' with the speed of the second carpet-plane.

Let's calculate the distance traveled by the second carpet-plane.

Calculation

Given: Speed1 = 140 km/h Speed2 = 260 km/h Distance1 = 700 km

Using the formula: t = 700 / (Speed1 + Speed2)

Substituting the values: t = 700 / (140 + 260) = 700 / 400 = 1.75 hours

The distance traveled by the second carpet-plane is given by: Distance2 = Speed2 × Time = 260 km/h × 1.75 hours = 455 km

Answer

The second carpet-plane traveled a distance of 455 km.