Join

JEE WhatsApp Group

Question 43

Rohit, Harsha and Sanjeev are three typists who, working simultaneously, can type 216 pages in four hours. In one hour, Sanjeev can type as many pages more than Harshs as Harsha can type more than Rohit. During a period of five hours, Sanjeev can type as many pages as Rohit can during seven hours How many pages does each of them type pei hour?

Solution

Let number of pages types per hour by Rohit, Harsha and Sanjeev respectively be $$x,y,z$$

=> $$4(x+y+z)=216$$

=> $$x+y+z=54$$ -----------(i)

Also, $$z-y=y-x$$

=> $$x+z-2y=0$$----------(ii)

Subtracting equation (ii) from (i), we get : $$y=18$$

=> $$x+z=36$$ --------------(iii)

Also, $$5z=7x$$ ------------(iv)

Now, solving equations (iii) and (iv), we get : $$x=15$$ and $$z=21$$

$$\therefore$$ Pages typed per hour by Rohit, Harsha and Sanjeev respectively are : 15,18,21

=> Ans - (D)

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

MAT DILR Questions | LRDI Questions For MAT

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

MAT Verbal Ability Questions | VARC Questions For MAT

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

Free MAT Topicwise Questions

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

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

CAT mentor

Phone Number

Preferred Time

Ask our AI anything

AI can make mistakes. Please verify important information.