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Time and Work · UPSC CDS/OTA · Question 59 of 105

Time and Work: A leak can empty a full tank in 30 hours. An inlet can fill the same tank in 10 hours. If both are opened when the tank is empty, how long will it take to fill the 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 leak can empty a full tank in 30 hours. An inlet can fill the same tank in 10 hours. If both are opened when the tank is empty, how long will it take to fill the 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 = 1/10 - 1/30 = (3-1)/30 = 1/15 → Time = 15 hours.

Final Answer: Option B - 12 hours
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A leak can empty a full tank in 30 hours. An inlet can… - Time and Work (Mathematics) Solved Question