Important Formulas to solve racing problems
Some Terms used in the questions:
|A beats B by t seconds||A finishes the race t seconds before B finishes.|
|A gives B a start of t seconds||A starts t seconds after B starts from the same starting point.|
|A gives B a start of x metres||While A starts from the starting point, B starts x meters ahead from the same starting point at the same time.
To cover a race of 100 metres in this case, A will have to cover 100 metres while B will have to cover only (100 – x) metres.
|Game of 100||A game in which the participant who scores 100 points first wins.|
|In a game of 100, A can give B 20 points||While A scores 100 points, B scores only 100-20=80 points.|