Question

Ajay and vijay together can do a piece of work in 6 days. Ajay alone does it in 10 days. What time does vijay require to do it alone? *

Answer 1

Step-by-step explanation:

No of days Ajay and Vijay takes to complete the work = 6

⇒ Work done by them in a day = \frac{1}{6}

6

1

No of days Ajay take to do the work = 10

⇒ Work done by Ajay in a day = \frac{1}{10}

10

1

Let x be the no of day taken by Vijay.

According to the question,

\frac{1}{x}+\frac{1}{10}=\frac{1}{6}

x

1

+

10

1

=

6

1

\frac{10+x}{10x}=\frac{1}{6}

10x

10+x

=

6

1

6(10+x)=10x6(10+x)=10x

60+6x=10x60+6x=10x

4x=604x=60

x=15x=15