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Time and Work · UPSC CDS/OTA · Question 43 of 105

Time and Work: A tank holds 100 gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 gallons/min. The outlet of the tank is twice the diameter of the inlet. How many minutes will it take to empty the tank if the inlet is shut off, when the tank is full and the outlet is opened? (Hint: Rate of filling or emptying is directly proportional to the diameter)

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 holds 100 gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 gallons/min. The outlet of the tank is twice the diameter of the inlet. How many minutes will it take to empty the tank if the inlet is shut off, when the tank is full and the outlet is opened? (Hint: Rate of filling or emptying is directly proportional to the diameter)

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

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Final Answer: Option B - 10.0 min
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A tank holds 100 gallons of water. Its inlet is 7… - Time and Work (Mathematics) Solved Question