Ramakant can finish a work in 28 days and Sushil can do the same work in half the time taken by Ramakant. When working together, what part of the same work they can finish in a day?

Correct option is A

Given:

Ramakant can finish a work in 28 days and Sushil can do the same work in half the time taken by Ramakant.

Concept used:

The rate of work of each person is the reciprocal of the time they take to complete the work. example,

A complete work in x day,

Rate of work in one day = $$\frac{1}{x}$$​​ day

Solution:

Rate of Ramakant = $$\frac{1}{28}$$​

Rate of Sushil = $$\frac{1}{14}$$​

Combined rate = $$\frac{1}{28} + \frac{1}{14}$$

​Combined rate =$$\frac{1+2}{28}$$​​

Combined rate = $$\frac{3}{28}$$

So, the part of the work they can finish in a day is $$\frac{3}{28}$$ days.

Thus, the correct answer is (a).

Alternative method:

One day work,

Ramakant + Sushil = $$\frac{3}{28}$$days​