Math-Book-GMAT-Club

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Example 3:Working together, printer A and printer B would finish a task in 24 minutes. Printer A alone would finish the task in60 minutes. How many pages does the task contain if printer B prints 5 pages a minute more than printer A?Solution:This problem is interesting because it tests not only our knowledge of the concept of word problems, but also ourability to ‘translate English to Math’‘Working together, printer A and printer B would finish a task in 24 minutes’ This tells us that A and B combinedwould work at the rate ofper minute.‘Printer A alone would finish the task in 60 minutes’ This tells us that A works at a rate ofper minute.At this point, it should strike you that with just this much information, it is possible to calculate the rate at whichB works: Rate at which B works = .‘B prints 5 pages a minute more than printer A’ This means that the difference between the amount of work B andA complete in one minute corresponds to 5 pages. So, let us calculate that difference. It will be‘How many pages does the task contain?’ Ifof the job consists of 5 pages, then the 1 job will consistofpages.Example 4:Machine A and Machine B are used to manufacture 660 sprockets. It takes machine A ten hours longer to produce660 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How manysprockets per hour does machine A produce?Solution:The rate of A isThe rate of B issprockets per hour;sprockets per hour.We are told that B produces 10% more sprockets per hour than A, thus ‐‐> ‐‐> therate of A issprockets per hour.As you can see, the main reason the 'tough' problems are 'tough' is because they test a number of other conceptsapart from just the ‘work’ concept. However, once you manage to form the equations, they are really not all thattough.‐ 47 ‐GMAT Club Math Bookpart of GMAT ToolKit iPhone App
And as far as the concept of ‘work’ word problems is concerned – it is always the same!Resources:DS Work Word Problems to practicePS Work Word Problems to practice‐ 48 ‐GMAT Club Math Bookpart of GMAT ToolKit iPhone App
Page 2 and 3: For the latest version of the GMAT
Page 4 and 5: Number TheoryDefinitionNumber Theor
Page 6 and 7: • 1 (and ‐1) are divisors of ev
Page 8 and 9: other digits: 21‐(9+8+6+9)=‐11,
Page 10 and 11: Sum of n first positive integers:Su
Page 12 and 13: Converting Decimals to Fractions•
Page 14 and 15: Operations involving the same bases
Page 16 and 17: PERCENTDefinitionA percentage is a
Page 18 and 19: Absolute ValueDefinitionThe absolut
Page 20 and 21: satisfied (‐15 is not within (‐
Page 22 and 23: FactorialsDefinitionThe factorial o
Page 24 and 25: AlgebraScopeManipulation of various
Page 26 and 27: There is a common misconception tha
Page 28 and 29: RemaindersDefinitionIf and are posi
Page 30 and 31: A. 2B. 4C. 8D. 20E. 45divided by yi
Page 32 and 33: Example #10 (hard)When positive int
Page 34 and 35: Word Problems OverviewThe Following
Page 36 and 37: Key words: less than (implies subtr
Page 38 and 39: Distance/Speed/Time Word ProblemsWh
Page 40 and 41: In the next section we will learn h
Page 42 and 43: Time(3) = Time(1) + Time(2) ‐‐
Page 44 and 45: 3*x = 5*(x ‐ 20) ‐‐> x = 50 m
Page 46 and 47: Work Word ProblemsWhat is a ‘Work
Page 50 and 51: Advanced Overlapping Sets ProblemsS
Page 52 and 53: the writing club. If 6 students sig
Page 54 and 55: two of the courses and 1 employee h
Page 56 and 57: Consider this problem to be an over
Page 58 and 59: Median The median of a triangle is
Page 60 and 61: • The midsegment is always parall
Page 62 and 63: Equilateral triangle all sides have
Page 64 and 65: • A right triangle where the angl
Page 66 and 67: Then the triangles ABC, CHB and CHA
Page 68 and 69: Quadrilateral A polygon with four '
Page 70 and 71: Squares A 4‐sided regular polygon
Page 72 and 73: • Area ‐ The usual way to calcu
Page 74 and 75: • A circle is the shape with the
Page 76 and 77: ChordA line that links two points o
Page 78 and 79: angle.• An inscribed angle is exa
Page 80 and 81: chords.‐ This becomes the theorem
Page 82 and 83: Coordinate GeometryDefinitionCoordi
Page 84 and 85: As you can see, the distance formul
Page 86 and 87: Lines in Coordinate GeometryIn Eucl
Page 88 and 89: The equation of a straight line tha
Page 90 and 91: Positive slopeHere, y increases as
Page 92 and 93: A horizontal line has a slope of ze
Page 94 and 95: Solution: We first find the slope o
Page 96 and 97: To answer, we must find the slope o
Page 98 and 99:
Example #2Q: Find the point of inte
Page 100 and 101:
ParabolaA parabola is the graph ass
Page 102 and 103:
Standard DeviationDefinitionStandar
Page 104 and 105:
Standard deviation of is . Decrease
Page 106 and 107:
ProbabilityDefinitionA number expre
Page 108 and 109:
Therefore, the probability of getti
Page 110 and 111:
2) Reversal combinatorial approach:
Page 112 and 113:
Combinations & PermutationsDefiniti
Page 114 and 115:
1. The total number of arrangements
Page 116 and 117:
is the first termDefining Propertie
Page 118 and 119:
Solution(1) a1=8, does not tell us
Page 120 and 121:
CuboidA cube is the 3‐D generaliz
Page 122 and 123:
ConeA cone is a 3‐D object obtain
Page 124 and 125:
Volume =Surface Area w/o base =Surf
Page 126:
(2) : Sum of sides = . Not sufficie
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Math-Book-GMAT-Club

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