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Time and Work · UPSC CDS/OTA · Question 55 of 105

Time and Work: A tank has an inlet pipe that can fill it in 4 hours and an outlet pipe that can empty it in 6 hours. If both are opened together, how long will it take to fill the empty tank?

Step-by-step solution. Time and Work for UPSC CDS/OTA.

Topic
Time and Work
Subject
Mathematics
Difficulty
Medium
Solve Time
45-60 sec

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Q · Time and WorkMedium · 45s

A tank has an inlet pipe that can fill it in 4 hours and an outlet pipe that can empty it in 6 hours. If both are opened together, how long will it take to fill the empty tank?

TopicTime and Work
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.25
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

Net rate = 1/4 - 1/6 = (3-2)/12 = 1/12 → Time = 12 hours.

Final Answer: Option C - 12 hours
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A tank has an inlet pipe that can fill it in 4 hours… - Time and Work (Mathematics) Solved Question