Math Problem Statement

A man and a woman can finish a work together in half the time taken by a woman and a boy together. A boy can finish the work alone in 20 days and 2 women together can finish it in 30 days. In how many days will the work be finished by 4 men?

Solution

Let's solve the problem step by step to find how many days it will take for 4 men to finish the work.

Step 1: Find the work rates

  • Boy's rate: A boy can finish the work alone in 20 days, so his rate is 120\frac{1}{20} of the work per day.

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Math Problem Analysis

Mathematical Concepts

Rate of Work
Simultaneous Equations

Formulas

Rate = Work / Time
Simultaneous Equations

Theorems

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Suitable Grade Level

Grades 7-9

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