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Short Notes on Time and Distance

TIPS AND FORMULAS ON TIME AND DISTANCE: 1. Speed =   Distance/Time 2. Time =   Distance /Speed 3. Distance =  Speed x Time 4 . km/hr to m/s conversion: 1 kmph =   5/18 m/s 5.  m/s to km/hr conversion:   1 m/s =   18/5 m/s 6.  If the ratio of speeds of train A and B is a : b, then the ratio of time taken by them to cover the same distance =  b : a. 7.  If a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then,the average speed during the whole journey is 2xy/(x + y) km/h 8 . The time taken by a train in passing a pole or standing man is the same as the time taken by the train to cover a distance equal to its own length. 9.  The time taken by a train of length 'L' metres in passing a stationary object of length 'B' metres is equal to the time taken by the train to cover a distance equal to  (L + B) m. 10.  If two trains are moving in the same directions at u m/s and v m...
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Tricks to Solve Quadratic Equation With Examples

Quadratic equations – These are the equations which look like ax 2  + bx + c = 0 These equations are asked in the competitive examinations in a set of 5 questions. Enough with the theory, the question in exams look like - In each of the following questions, two equations are given. Solve these equations and give answer: A)  If x >= y, i.e. x is greater than or equal to y B)  If x > y, i.e. x is greater than y C)  If x <= y, i.e. x is less than or equal to y D)  If x < y, i.e. x less than y E)  If x = y, or no relation can be established between x and y Question 1: . Here we will discuss a method to solve these equations with minimal writing and as reduced time as possible. Keep in mind; we are doing exactly what we used to do before, just in a less time and less writing. +b +c * +a    Note that I have written coefficients along with their signs +5 +6 * +1    Now, the next task for us is to find the factors in a way...
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Study Notes of HCF and LCM and Aptitude Quiz

TIPS FOR SOLVING QUESTIONS RELATED TO HCF and LCM: Prime number :   A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11, 13, etc. are prime numbers. Co-Prime Number:  Two numbers are said to be relatively prime, mutually prime, or co-prime to each other when they have no common factor or the only common positive factor of the two numbers is 1. In other words, two numbers are said to be co-primes if their H.C.F. is 1. Factors:  The numbers are said to be factors of a given number when they exactly divide that number. Thus, factors of 18 are 1, 2, 3, 6, 9 and 18. Common Factors:  A common factor of two or more numbers is a number which divides each of them exactly. Thus, each of the numbers - 2, 4 and 8 is a common factor of 8 and 24. Multiple:  When a number is exactly divisible by another number, then the former number is called the multiple of the...
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