Question

Mahin can do a work in 14 days and working together Vijay and Mahin can do the same work in 10 days. In what time can Vijay alone do the work

Answer 1

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Answer 2

Answer:

Vijay can do the work alone in 35 days

Step-by-step explanation:

Let Vijay alone do the work in x days

$\text{So, Vijay's 1 day work = }\frac{1}{x}$

Mahim do the same work in 14 days

$\text{So, Mahim's 1 day work = }\frac{1}{14}\\\\\text{Now, they complete the same work in 10 days}\\\\\implies \frac{1}{x}+\frac{1}{14}=\frac{1}{10}\\\\\implies\frac{1}{x}=\frac{1}{10}-\frac{1}{14}\\\\\implies\frac{1}{x}=\frac{1}{35}\\\\\implies x = 35$

Hence, Vijay can do the work alone in 35 days