Discussion
Two inlet taps can fill an empty tank in 10 hours and 15 hours respectively, while an outlet tap can empty the full tank in 8 hours. If all three taps are opened simultaneously, the tank will be completely filled in :
Answer: C
The tank is filled in 24 hours.
In one hour the two inlets fill 1/10 and 1/15 of the tank and the outlet empties 1/8:
\[ \begin{aligned} \tfrac{1}{10} + \tfrac{1}{15} - \tfrac{1}{8} &= \tfrac{12 + 8 - 15}{120} \\ &= \tfrac{5}{120} = \tfrac{1}{24} \end{aligned} \]
So the net filling rate is 1/24 of the tank an hour, and the tank is full in 24 hours.
The two inlets alone would fill it in 6 hours; the outlet slows this sharply. 20, 23 and 25 hours do not match the net rate of 1/24.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development