Question

По шоссе в одном направлении едут мотоциклист и автобус. Скорость автобуса 80 км/ч. Когда мотоциклист подъехал к мосту, автобус еще не доехал до моста 4 км 800 м, а через 12 минут автобус догнал мотоциклиста. С какой скоростью ехал мотоциклист?

Answer 1

80*0,2 = 16 (км) - проехал автобус, пока не догнал мотоциклиста

16 - 4,8 = 11,2 (км) - проехал мотоциклист, пока его не догнал автобус 
11,2 : 0,2 = 56 (км/ч) - скорость мотоциклиста 
Ответ: 56 км/ч

Answer 2

12мин=0,2ч

х км/ч - скорость мотоциклиста

х*0,2=80*0,2-4,8

0,2х=11,2

х=56(км/ч) - скорость мотоциклиста

Answer 3

Problem Analysis

We are given that a motorcycle and a bus are traveling in the same direction on a highway. The bus is traveling at a speed of 80 km/h. When the motorcycle reaches a bridge, the bus is still 4 km and 800 m away from the bridge. After 12 minutes, the bus catches up to the motorcycle. We need to determine the speed of the motorcycle.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's assume the speed of the motorcycle is x km/h.

We know that the bus takes 12 minutes (or 0.2 hours) to catch up to the motorcycle. During this time, the motorcycle and the bus cover the same distance.

The distance covered by the motorcycle in 0.2 hours is 0.2x km.

The distance covered by the bus in 0.2 hours is 80 × 0.2 km.

Since the distances covered by the motorcycle and the bus are the same, we can set up the equation:

0.2x = 80 × 0.2

Simplifying the equation:

0.2x = 16

Dividing both sides of the equation by 0.2:

x = 16 / 0.2

Calculating the value of x:

x = 80

Therefore, the speed of the motorcycle is 80 km/h.

Answer

The motorcycle was traveling at a speed of 80 km/h.