Painter 'A' can paint a house in 50 days and 'B' can do it in 25 days. With help of 'C', they did the job in 10 days only. Then, 'C' alone can do the job in
Let total work to be done = 100 units
Painter 'A' can paint a house in 50 days and 'B' can do it in 25 days
=> A's efficiency = $$\frac{100}{50} = 2$$ units/day
B's efficiency = $$\frac{100}{25} = 4$$ units/day
Let C's efficiency = $$x$$ units/day
According to ques, all of them complete the job in 10 days
=> $$(2+4+x) \times 10 = 100$$
=> $$x+6=\frac{100}{10}=10$$
=> $$x=10-6=4$$
$$\therefore$$ Time taken by C alone to do the job = $$\frac{100}{4}=25$$ days
=> Ans - (C)
Create a FREE account and get: