Math Problem Statement

A completes 2/5 part of a work in x days. After then he calls B and they together finish the remaining work in 6 days. If B alone takes 100/6 days. Then find the value of x.

(a) 10 days

(b) 50/3 days

(c) 20 days

(d) 40 days

Solution

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Math Problem Analysis

Mathematical Concepts

Work and Time
Rate of Work
Algebra

Formulas

Rate of work formula: Work done = Rate × Time
Combined rate: Rate of A + Rate of B = Combined rate

Theorems

Work Rate Theorem (Inversely proportional relationship between time and rate of work)

Suitable Grade Level

Grades 8-10