Math Problem Statement

A and B start from the Opposite ends of a 50 m long pool, simultaneously. Whoever finishes 1000 m wins the race. The speeds of A and B are 5 m/s and 7 m/s respectively. How many times would they meet/cross each other before the end of the race?

Solution

To solve this problem, we need to determine how many times A and B will meet or cross each other before one of them finishes the race. Let's break it down step by step:

1. Understanding the Scenario:

  • The pool is 50 meters long.
  • A and B start at opposite ends of the pool.

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Math Problem Analysis

Mathematical Concepts

Kinematics
Relative Motion

Formulas

Distance = Speed × Time

Theorems

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Suitable Grade Level

High School