Question 74

A car starts running with the initial speed of 40 kmph, with its speed increasing every hour by 5 kmph. How many hours will it take to cover a distance of 385 km?

Solution

There is an Arithmetic Progression here,

40 + (40+5)+ (40+5+5) .....n terms = 385

So, sum of terms = 385

first term = 40 and common difference = 5

S = n/2[2a + (n-1)*d]

385 = n/2[80+5n-5)

770 = n[75+5n]

154 = n(15+n)

n = 7

So it takes 7 hours to cover a distance of 385 kms.

Get AI Help

View More Questions From Quant

Create a FREE account and get:

All Quant Formulas and Shortcuts PDF
100+ previous papers with solutions PDF
Top 5000+ MBA exam Solved Questions for Free

maruti sir image

MAT Quant Questions | MAT Quantitative Ability

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

MAT DILR Questions | LRDI Questions For MAT

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

MAT Verbal Ability Questions | VARC Questions For MAT

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

Free MAT Topicwise Questions

MAT Profit And Loss MAT Special Charts MAT Time And Work MAT Venn Diagrams MAT Miscellaneous LR MAT Table based DI Sets MAT Data Interpretation Basics MAT Scheduling MAT Miscellaneous MAT Verbal Ability MAT DI with connected data sets MAT Data Sufficiency MAT Vocabulary MAT Reading Comprehension MAT Averages MAT Data change over a period MAT Averages, Ratio and Proportion MAT Routes And Networks MAT Coins and Weights MAT Mensuration MAT Arithmetic MAT Geometry MAT Time, Speed and Distance MAT Functions, Graphs and Statistics MAT Quadratic Equations MAT Quant Based LR MAT Simple Interest Compound Interest MAT Venn Diagrams MAT 2D & 3D LR MAT Selection With Condition MAT Remainders MAT Linear Equations MAT Truth Lie Concept MAT Grammar and Sentence Correction MAT Percentages MAT Number Series MAT Probability, Combinatorics MAT Games and Tournamnents MAT Profit and Loss MAT Para Summary MAT Number Systems MAT Critical Reasoning MAT Progressions and Series MAT Arrangement MAT Coordinate Geometry MAT Inequalities MAT Quant Based DI MAT Logarithms, Surds and Indices MAT Odd One Out MAT Algebra MAT Para Jumbles MAT Charts MAT Logarithms MAT Averages Mixtures Alligations MAT DI Miscellaneous MAT Ssc Reasoning MAT Time Speed Distance MAT Maxima-Minima MAT Puzzles MAT Data Interpretation

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

CAT mentor

Phone Number

Preferred Time

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now

Maruti sir and Sri sir image

Ask our AI anything

AI can make mistakes. Please verify important information.