Question

Yogesh requires 3days more than Vivek to do work completely .If both work together they complete work 2 days.Find number of days required to each of them to complete the work.

Answer 1

Answer:

Step-by-step explanation:

Suppose vivek requires 'x' days to complete a work.

OR, In 'x' days Vivek complete 1 part of work.

therefore, in 1 day he will complete 1/x part of work.

Then, according to question: Yogesh will complete the work in (x+3) days.

OR,In (x+3) days Yogesh complete 1 part of work.

therefore,in 1 day he will complete 1/(x+3) part of work.

Vivek & Yogesh together complete the work in 2 days. (given in the Qs.)

OR,In 2 days they complete 1 part of work.

therefore, in 1 day they will complete 1/2 part of work.

Therefore,

1 day work of Vivek + 1 day work of Yogesh=Work done by vivek and yogesh together

in 1 day.

1/x + 1/(x+3) = 1/2