
Велосипедист и мотоциклист выехали одновременно навстречу друг другу из двух посёлков. Велосипедист
ехал со скоростью 12 км/ч, а мотоциклист - 40 км/ч. 1)Найди скорость сближения велосипедиста и мотоциклиста. 2)На сколько километров велосипедист и мотоциклист приблизились друг к другу за 2 ч.

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Problem Analysis
We are given that a cyclist and a motorcyclist start simultaneously from two different villages and are moving towards each other. The cyclist is traveling at a speed of 12 km/h, and the motorcyclist is traveling at a speed of 40 km/h. We need to find the following: 1. The speed at which the cyclist and the motorcyclist are approaching each other. 2. The distance by which the cyclist and the motorcyclist have approached each other after 2 hours.Solution
To solve this problem, we can use the formula:Distance = Speed × Time
Let's calculate the required values step by step.
1) Speed of Approach
The speed at which the cyclist and the motorcyclist are approaching each other is the sum of their individual speeds. Therefore, the speed of approach is:Speed of Approach = Speed of Cyclist + Speed of Motorcyclist
Substituting the given values:
Speed of Approach = 12 km/h + 40 km/h
Now, let's calculate the value:
Speed of Approach = 52 km/h
2) Distance of Approach after 2 hours
To find the distance by which the cyclist and the motorcyclist have approached each other after 2 hours, we can use the formula:Distance = Speed × Time
For the cyclist: Distance of Cyclist = Speed of Cyclist × Time
Substituting the given values: Distance of Cyclist = 12 km/h × 2 hours
Now, let's calculate the value: Distance of Cyclist = 24 km
For the motorcyclist: Distance of Motorcyclist = Speed of Motorcyclist × Time
Substituting the given values: Distance of Motorcyclist = 40 km/h × 2 hours
Now, let's calculate the value: Distance of Motorcyclist = 80 km
The total distance by which the cyclist and the motorcyclist have approached each other after 2 hours is the sum of their individual distances:
Total Distance of Approach = Distance of Cyclist + Distance of Motorcyclist
Substituting the calculated values: Total Distance of Approach = 24 km + 80 km
Now, let's calculate the value: Total Distance of Approach = 104 km
Summary
Based on the calculations, we can conclude the following: 1. The speed at which the cyclist and the motorcyclist are approaching each other is 52 km/h. 2. The distance by which the cyclist and the motorcyclist have approached each other after 2 hours is 104 km.Please let me know if I can help you with anything else.


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