Question

P and q together can do work in 18 days .P alone can do same work in 27 days in how many days can q alone do same work

Answer 1

wen we do p and q together it answer come 45

Answer 2

Answer:

q alone can do a piece of work in 54 days.

Step-by-step explanation:

P and q together can do work in 18 days.

P alone can do same work in 27 days.

We need to find in how many days q alone can do the same work?

Step 1- First we need to find the L.C.M of 18 and 27 which is 54.

Therefore Efficiency of (p+q) = 3

Efficiency of p = 2

Step 2- Efficiency of q = Efficiency of (p + q) - Efficiency of (p)

                                     = 3 - 2

                                     = 1

Step 3- q alone can do a piece of work in = $\frac{54}{1}$

                                                                     = 54 days

Hence q alone can do a piece of work in 54 days.