Question 36

A tank is connected with both inlet pipes and outlet pipes. Individually, an inlet pipe can fill the tank in 7 hours and an outlet pipe can empty it in 5 hours. If all the pipes are kept open, it takes exactly 7 hours for a completely filled-in tank to empty. If the total number of pipes connected to the tank is 11, how many of these are inlet pipes?

Solution

Share

Let the number of inlet pipes be x, then the number of outlet pipes will be 11-x.

The rate of emptying the tank is more than filling the tank if all the pipes are kept opened.

$$\frac{11-x}{5}$$ - $$\frac{x}{7}$$ = $$\frac{1}{7}$$

Solving, 12x =72,Hence x = 6

Therefore, the number of inlet pipes is 6.

Was this solution helpful?

Get AI Help

Video Solution

video
View More Questions From Time and Work

Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 170+ previous papers with solutions PDF
  • Top 5000+ MBA exam Solved Questions for Free

IIFT Quant Questions | IIFT Quantitative Ability

IIFT Progressions and Series QuestionsIIFT Simple Interest Compound Interest QuestionsIIFT Arithmetic QuestionsIIFT Functions, Graphs and Statistics QuestionsIIFT Quadratic Equations QuestionsIIFT Geometry QuestionsIIFT Number Series QuestionsIIFT Logarithms QuestionsIIFT Algebra QuestionsIIFT Time And Work QuestionsIIFT Profit and Loss QuestionsIIFT Data Sufficiency QuestionsIIFT Averages Mixtures Alligations QuestionsIIFT Percentages QuestionsIIFT Probability, Combinatorics QuestionsIIFT Number Systems QuestionsIIFT Inequalities QuestionsIIFT Averages, Ratio and Proportion QuestionsIIFT Averages QuestionsIIFT Time Speed Distance QuestionsIIFT Profit And Loss QuestionsIIFT Linear Equations QuestionsIIFT Miscellaneous QuestionsIIFT Time, Speed and Distance QuestionsIIFT Venn Diagrams QuestionsIIFT Mensuration QuestionsIIFT Logarithms, Surds and Indices QuestionsIIFT Coordinate Geometry QuestionsIIFT Remainders Questions

IIFT DILR Questions | LRDI Questions For IIFT

IIFT Arrangement QuestionsIIFT Miscellaneous LR QuestionsIIFT Maxima-Minima QuestionsIIFT 2D & 3D LR QuestionsIIFT Venn Diagrams QuestionsIIFT Data change over a period QuestionsIIFT Data Interpretation QuestionsIIFT Quant Based LR QuestionsIIFT Data Interpretation Basics QuestionsIIFT DI with connected data sets QuestionsIIFT Table based DI Sets QuestionsIIFT Scheduling QuestionsIIFT Games and Tournaments QuestionsIIFT Coins and Weights QuestionsIIFT Quant Based DI QuestionsIIFT Charts QuestionsIIFT DI Miscellaneous QuestionsIIFT Special Charts QuestionsIIFT Selection With Condition QuestionsIIFT Truth Lie Concept QuestionsIIFT Puzzles QuestionsIIFT Routes And Networks Questions

IIFT Verbal Ability Questions | VARC Questions For IIFT

IIFT Verbal Ability QuestionsIIFT Grammar and Sentence Correction QuestionsIIFT Para Jumbles QuestionsIIFT Critical Reasoning QuestionsIIFT Odd One Out QuestionsIIFT Vocabulary QuestionsIIFT Para Summary QuestionsIIFT Reading Comprehension Questions

Free IIFT Quant Questions

IIFT Number SeriesIIFT PercentagesIIFT LogarithmsIIFT Venn DiagramsIIFT Time, Speed and DistanceIIFT Time Speed DistanceIIFT Profit And LossIIFT Progressions and SeriesIIFT MensurationIIFT Data SufficiencyIIFT Functions, Graphs and StatisticsIIFT Number SystemsIIFT RemaindersIIFT AlgebraIIFT Profit and LossIIFT Simple Interest Compound InterestIIFT Logarithms, Surds and IndicesIIFT AveragesIIFT Quadratic EquationsIIFT Averages Mixtures AlligationsIIFT Averages, Ratio and ProportionIIFT GeometryIIFT Probability, CombinatoricsIIFT Linear EquationsIIFT ArithmeticIIFT InequalitiesIIFT MiscellaneousIIFT Coordinate GeometryIIFT Time And Work

Related Formulas With Tests

Tank - Pipes

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI