Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?
A. 16 minutes
B. 24 minutes
C. 32 minutes
D. 40 minutes
Answer: Option B
Solution(By Examveda Team)
A, B and C together can fill 100% empty tank in 10 minutes Work rate of (A + B + C) = $$\frac{{100}}{{10}}$$ = 10% per minute A alone can fill the tank in 30 minutes Work rate of A = $$\frac{{100}}{{30}}$$ = 3.33% per minute B alone can fill the tank in 40 minutes Work rate of B = $$\frac{{100}}{{40}}$$ = 2.5% Work rate of (A + B) = 3.33 + 2.5 = 5.83% per minute Work rate of C, = Work rate of (A + B + C) - (A + B) = 10 - 5.83 = 4.17% per minute So, C takes = $$\frac{{100}}{{4.17}}$$ ≈ 24 minutes to fill the tankRelated Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
Join The Discussion