The Concept of Races

"Race" is a competition of speeds. All participants of a race are required to run a specific distance; whoever does it in the minimum will be the winner of the race.

When all participants reach the finishing point at the same instant of time, the race is said to end in a "Dead Heat"

The various types of phrases used in problems on races and their interpretations are as follows:

1. A beats B by ‘y’ meters: This means, both A and B start at the starting point at the same instant of time, but while A reaches the finishing point, B is y meters behind. This indicates that A is the winner of the race.

2. A beats B by ‘t’ minutes: This means, both A and B start at the starting point at the same instant, but B takes t minutes more as compared to A to finish the race. Here also, A is the winner.

3. A gives B a start of ‘y’ meters: A starts from the starting point and B starts y meters ahead, but still both A and B reach the finishing point at the same instant of time. So, the race ends in a dead heat.

4. A gives B a start of ‘t’ minutes: A starts t minutes after B starts from the starting point, but still, both A and B reach the finishing point at the same instant of time. So, again the race ends in a dead heat.

5. A beats B by ‘y’ meters or ‘t’ minutes: A and B start at the starting point at the same instant, but while A reaches the finishing point, B is behind by y meters, and, B takes t minutes compared to A to complete the race. So, B covers remaining y meters y meters in extra t minutes. This gives the speed of B as  
y/t
Our Research & Findings

#IBPS PO

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 35. Out of these 35 questions 4.29% of questions are from Races.

#SBIPO

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 35. Out of these 35 questions 2.86% of questions are from Races.

#TCSNQT

As a sample we have choosen the last 4 year's (2019, 2018, 2017, 2016) previously asked question papers. In quatitative aptitude section, a total number of questions asked are 26. Out of these 26 questions 8.33% of questions are from Races.

Teaching Methodology

  • Concepts based solutions
  • Short cut methods
  • Spatial visualization
Sample Question

In a kilometre race, Kumar beats Sathish by 100 m and Sathish beats thirumala rao by 150 m. In the same race, by how many metres does Kumar beat thirumala rao?
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