Races is an extension of speed time distance. You could expect one question in the GMAT quant section testing ideas covered in this chapter. This topic tests the idea of people racing against each other, racing with a head start, dead finish and other related ideas.

The chapter on Races is essentially an extention to the concepts covered in the Speed Time and Distance Chapter and Ratio Proportion chapter. The lesson book has questions on two types of races - Races along a straight track and Circular Races. Wizako's GMAT Math Lesson Book in this chapter covers the following concepts:

- Definition of the term race
- Explanation of the concept of races along a straight track
- Illustrative Examples to consolidate the idea
- 8 solved examples are provided with detailed explanation for races along a straight track
- The concept of race in a circular path is explained along with examples
- 4 solved examples are given with detailed explanation
- 13 exercise problem of both types of races with the answer key and explanatory answers
- A multiple choice test with 26 GMAT level questions. Explanatory answers to all questions and an answer key are provided for the test.

Here is a typical solved example in Wizako's GMAT Book from this chapter

P and Q run around a circular track of radius 49 meters starting from the same point at the same time and in the same direction. If 'P' runs at a speed of 15 m/min and 'Q' runs at a speed of 10 m/min, when will they meet again for the first time?

P and Q run in the same direction. Therefore, their relative speed = 15 - 10 = 5 m/min

Circumference of the circular track is the length of the circular track = 2πr

= 2 × \\frac{22}{7}) × 49 = 308 m.

Time taken for P and Q to meet for the first time after they have started a race along a circular track, starting simultaneously from the same point is

\\frac{\text{length of the circular track}}{\text{relative speed}}) = \\frac{308}{5}) = 61.6 minutes

61.6 minutes = (60 + 1 + 0.6) minutes = 1 hour, 1 minute and (0.6 × 60) seconds

Therefore, they will meet for the first time after 1 hour, 1 minute and 36 seconds.

Copyrights © 2016 - 23 All Rights Reserved by Wizako.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

GMAT^{®} is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.

GRE^{®} is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.

SAT^{®} is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.

Wizako - GMAT, GRE, SAT Prep

An Ascent Education Initiative

14B/1 Dr Thirumurthy Nagar 1st Street

Nungambakkam

Chennai 600 034. India

**Mobile:** (91) 95000 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@wizako.com

Leave A Message