Question 110

Land Cruiser Prado, the latest SUV from Toyota Motors, consumes diesel at the rate of $$\frac{1}{400}\left\{ \frac{1000}{x} + x\right\}$$litres per Km. when travelling at the speed of x km/hr. The diesel costs Rs. 65 per litre and the driver is paid Rs. 50 per hour. Find the steady speed that will minimize the total cost of a 1000 km trip?

Solution

Share

Total cost=Fuel cost+ Driver’s cost
Fuel cost=Total distance × Cost of Diesel per km
Fuel cost=1000×[1/400 {(1000/x)+x} ]×65
Fuel cost = 162500/x + 162.5x
Now, substituting the values from the given choices, we find that at x=36, the total cost is minimum.
Hence. Option B is correct.

Get AI Help

View More Questions From Time, Speed and Distance

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

IIFT DILR Questions | LRDI Questions For IIFT

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

IIFT Verbal Ability Questions | VARC Questions For IIFT

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

Free IIFT Quant Questions

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

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