Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 59
A water tank has M inlet pipes and N outlet pipes. An inlet pipe can fill the tank in 8 hours while an outlet pipe can empty the full tank in 12 hours. If all pipes are left open simultaneously, it takes 6 hours to fill the empty tank. What is the relationship between M and N?
Solution
M inlet pipe can fill $$(\frac{M}{8})^{th}$$ part of the tank in 1 hour.
Similarly, N outlet pipes can empty $$(\frac{N}{12})^{th}$$ part of the tank in 1 hour.
=> $$\frac{M}{8} - \frac{N}{12} = \frac{1}{6}$$
=> $$6 M - 4 N = 8$$
=> $$M = \frac{4 + 2 N}{3}$$
If, N = 1, => M = 2 => $$M : N = 2 : 1$$
If, N = 4, => M = 4 => $$M : N = 1 : 1$$
Thus, Ans - (E)
Video Solution
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 15 XAT previous papers with solutions PDF
- XAT Trial Classes for FREE
XAT Quant Questions | XAT Quantitative Ability
XAT Profit, Loss and Interest QuestionsXAT Linear Equations QuestionsXAT Time, Distance and Work QuestionsXAT Geometry QuestionsXAT Functions, Graphs and Statistics Questions
XAT DILR Questions | LRDI Questions For XAT
XAT Puzzles QuestionsXAT Quant Based DI QuestionsXAT Logical Reasoning QuestionsXAT Data Interpretation QuestionsXAT Table with Missing values Questions
