Question

В 6 утра из Мурома в Киев выехал со скоростью 9км/ч Илья муромец. В 8 утра из Мурома в Киев выехал Алёша попович и догнал Илья Муромца 2 ч дня. С какой скоростью ехал Алёша попович?

Answer 1

Ответ:

к месту встречи Илья ехал 14-6=8 часов со скоростью 9 км/ч

к месту встречи Алёша ехал 14-8=6 часов со скоростью х

расстояние пройдено одинаковое

$8 \times 9 = 6 \times x \\ x = \frac{8 \times 9}{6} \\ x = 12$

Answer 2

Problem Analysis

We are given that Ilya Muromets left from Murom to Kiev at 6 am with a speed of 9 km/h. Aleksey Popovich left from Murom to Kiev at 8 am and caught up with Ilya Muromets after 2 hours. We need to find the speed at which Aleksey Popovich was traveling.

Solution

Let's assume the distance between Murom and Kiev is D km.

We know that Ilya Muromets traveled for 2 hours before being caught by Aleksey Popovich. Therefore, the distance traveled by Ilya Muromets in 2 hours is 9 km/h * 2 h = 18 km.

Since Aleksey Popovich caught up with Ilya Muromets after 2 hours, it means that Aleksey Popovich also traveled the same distance of 18 km in 2 hours.

To find the speed at which Aleksey Popovich was traveling, we can use the formula:

Speed = Distance / Time

Substituting the values, we have:

Speed = 18 km / 2 h = 9 km/h

Therefore, Aleksey Popovich was traveling at a speed of 9 km/h.

Answer

Aleksey Popovich was traveling at a speed of 9 km/h.