Question

Маша и Петя живут в одном доме, который находится на расстоянии 1200м от кинотеатра. Маша пошла в кино со скоростью 60м/мин Петя вышел из дома когда Маша проходила мимо киоска с мороженым,и, идя со скоростью 80 м/ догнал Машу у самого входа в кинотеатр. На каком расстоянии от дома находится киоск с мороженым?

Answer 1

Он находится на растоянии....

Answer 2

Мне кажется метров 20...

Answer 3

Problem Analysis

Masha and Petya live in the same house, which is located 1200m away from the cinema. Masha walks to the cinema at a speed of 60m/min, while Petya leaves the house when Masha passes by an ice cream kiosk and catches up with her at the entrance of the cinema. We need to determine the distance from the house to the ice cream kiosk.

Solution

To find the distance from the house to the ice cream kiosk, we can use the concept of relative speed. Since Petya catches up with Masha at the entrance of the cinema, their relative speed must be equal to the speed at which Masha is walking.

Let's assume the distance from the house to the ice cream kiosk is 'x' meters.

The time taken by Masha to reach the cinema is given by: Time taken by Masha = Distance / Speed = 1200m / 60m/min = 20 min

During this time, Petya walks from the house to the ice cream kiosk and then catches up with Masha at the entrance of the cinema. The time taken by Petya to reach the entrance of the cinema is also 20 minutes.

Let's calculate the distance traveled by Petya: Distance traveled by Petya = Speed * Time = 80m/min * 20 min = 1600m

Since Petya catches up with Masha at the entrance of the cinema, the distance from the house to the ice cream kiosk is equal to the distance traveled by Petya: Distance from house to ice cream kiosk = 1600m

Therefore, the ice cream kiosk is located 1600 meters away from the house.

Answer

The ice cream kiosk is located at a distance of 1600 meters from the house.