SSC CGL Exam > SSC CGL Questions > If a pipe can fill 75% of a tank in 33 minute...
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If a pipe can fill 75% of a tank in 33 minutes, in how many minutes can it fill 95% of the tank?
- a)37.50
- b)44.44
- c)41.80
- d)42.33
Correct answer is option 'C'. Can you explain this answer?
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If a pipe can fill 75% of a tank in 33 minutes, in how many minutes ca...
Hence, Option C is correct.
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If a pipe can fill 75% of a tank in 33 minutes, in how many minutes ca...
Understanding the Problem
To find out how long it takes for a pipe to fill 95% of a tank, we first need to understand the rate at which the pipe fills the tank.
Initial Information
- The pipe fills 75% of the tank in 33 minutes.
- We need to find the time taken to fill 95% of the tank.
Calculating the Filling Rate
- The pipe fills 75% of the tank in 33 minutes:
- Rate of filling = 75% / 33 minutes = 2.27% per minute.
Finding Time for 1% Filling
- To find the time taken to fill 1% of the tank:
- Time for 1% = 33 minutes / 75 = 0.44 minutes (approximately).
Calculating Time for 95% Filling
- Now, to find the time to fill 95% of the tank:
- Time for 95% = 95% * Time for 1% = 95 * 0.44 = 41.80 minutes.
Conclusion
Thus, the time taken to fill 95% of the tank is approximately 41.80 minutes, confirming that the correct answer is option 'C'.
This problem illustrates the importance of determining the rate of work done when dealing with filling, draining, or similar types of problems.
To find out how long it takes for a pipe to fill 95% of a tank, we first need to understand the rate at which the pipe fills the tank.
Initial Information
- The pipe fills 75% of the tank in 33 minutes.
- We need to find the time taken to fill 95% of the tank.
Calculating the Filling Rate
- The pipe fills 75% of the tank in 33 minutes:
- Rate of filling = 75% / 33 minutes = 2.27% per minute.
Finding Time for 1% Filling
- To find the time taken to fill 1% of the tank:
- Time for 1% = 33 minutes / 75 = 0.44 minutes (approximately).
Calculating Time for 95% Filling
- Now, to find the time to fill 95% of the tank:
- Time for 95% = 95% * Time for 1% = 95 * 0.44 = 41.80 minutes.
Conclusion
Thus, the time taken to fill 95% of the tank is approximately 41.80 minutes, confirming that the correct answer is option 'C'.
This problem illustrates the importance of determining the rate of work done when dealing with filling, draining, or similar types of problems.
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If a pipe can fill 75% of a tank in 33 minutes, in how many minutes can it fill 95% of the tank?a)37.50b)44.44c)41.80d)42.33Correct answer is option 'C'. Can you explain this answer?
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