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A and B can fill a tank in 30 and 40 hours while C can drain the tank in 60 hours. All three starts filling and after 20 hours A is closed. Find the time (in hours) taken to fill the tank.
35
30
40
50
45
- A can fill the tank in 30 hours, so in 1 hour, A fills 1/30 of the tank.
- B can fill the tank in 40 hours, so in 1 hour, B fills 1/40 of the tank.
- C can drain the tank in 60 hours, so in 1 hour, C drains 1/60 of the tank.
- Combined, A, B, and C fill (1/30 + 1/40 - 1/60) of the tank per hour.
- Simplifying, (4/120 + 3/120 - 2/120) = 5/120 = 1/24 of the tank per hour.
- In 20 hours, they fill 20 * 1/24 = 20/24 = 5/6 of the tank.
- After 20 hours, A stops, leaving B and C working.
- B and C fill (1/40 - 1/60) = 1/120 of the tank per hour.
- To fill the remaining 1/6 of the tank, (1/6 * 120) = 20 hours is required.
- Total time = 20 + 20 = 40 hours.
Correct Answer: Option 3 - 40 hours
By: Parvesh Mehta ProfileResourcesReport error
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