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?
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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
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