Math Problem Statement

A car and a motorbike travel from point A to point B, with the car's speed greater than the motorbike's speed by 10 km/h. The total time for the car to travel the distance is 36 minutes. The total distance between A and B is 120 km. You are asked to calculate the speed of each vehicle.

Solution

The image you uploaded contains a set of math problems in Vietnamese, related to geometry and motion. Here's a breakdown of the problems:

  1. Problem 3: A car and a motorbike travel from point A to point B, with the car's speed greater than the motorbike's speed by 10 km/h. The total time for the car to travel the distance is 36 minutes. The total distance between A and B is 120 km. You are asked to calculate the speed of each vehicle.

  2. Problem 4: A flower bed has the shape of a rectangle, with some circular areas. The question involves calculating the perimeter of the flower bed and determining the cost of constructing a fence around it, given the cost per meter.

  3. Problem 5: The question involves a triangle ABC, with a right angle at B. You are asked to prove some properties related to tangents and perpendiculars, including proving that certain segments are equal and that a point is the midpoint.

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Math Problem Analysis

Mathematical Concepts

Motion
Speed and Time Relationship
Algebra

Formulas

Distance = Speed × Time
Speed = Distance / Time

Theorems

Basic motion equations

Suitable Grade Level

Grades 7-9