Question

Samir can complete painting a house in 12 days. Samir and Ritvik together can complete the same work in 6 2/3 days. How long will Ritvik take if he had to paint the house alone?

Answer 1

Answer:

Ritvik take 15 days, if he had to paint the house alone

Step-by-step explanation:

It is given that,

1). Samir can complete painting a house in 12 days.

Therefore Samir's on day work = 1/12

Samir and Ritvik together can complete the same work in 6 2/3 days.

6 2/3 = 20/3

Therefore one day work of Samir and Ritvik = 3/20

To find the one day work of Ritvik

one day work of Ritvik = 3/20 - 1/12

Lcm of (12 and 20 ) = 60

one day work of Ritvik = 3/20 - 1/12 = 9/60 - 5/60 = 4/60

To find the Days taken by Ritvik to complete the job alone

one day work of Ritvik  = 4/60

Therefore ,

the Days takenn by Ritvik to complete the job alone = 60/4 = 15 days