GMAT Quant Questions | GMAT Rates Q4

Races | Time Speed Distance | GMAT Sample Questions

This GMAT Math practice question is from the topic rates, testing the concept of a race between two runners. A medium difficulty, GMAT 600 to 650 level sample question.

Question 4: A runs 25% faster than B and is able to give B a start of 7 meters to end a race in dead heat. What is the length of the race?

  1. 10 meters
  2. 25 meters
  3. 45 meters
  4. 15 meters
  5. 35 meters

Get to 705+ in the GMAT


Online GMAT Course
@ INR 6000


Video Explanation


GMAT Live Online Classes


Starts Sun, Mar 3, 2024


Explanatory Answer | GMAT Races

Compute Length of Race

A runs 25% faster than B. Essentially, A runs 125% as much distance as B does in the same time.
i.e., if B runs 100 m in a given time, A will run 125 m in the same time.
Ratio of distances run between A and B in a given time is 125 : 100
Expressing the ratio in its lowest form, distance run by A : B = 5 : 4

In other words, if A runs 5 m in a given time, then B will run 4 m in the same time.

Therefore, if the length of a race is 5 m, then A can give B a start of 1 m (A can allow B to start 1 ahead of the starting point) so that they finish the race in a dead heat.
Ratio of length of start given : length of race :: 1 : 5

In this question, we know that the start given is 7 m.
Hence, the length of the race will be 7 × 5 = 35 m.

Choice E is the correct answer.



GMAT Online Course
Try it free!

Register in 2 easy steps and
Start learning in 5 minutes!

★ Sign up

Already have an Account?

★ Login

GMAT Live Online Classes

Next Batch Mar 3, 2024

★ GMAT Live Info

GMAT Rates Videos On YouTube


GMAT Sample Questions | Topicwise GMAT Questions


Work @ Wizako

How to reach Wizako?

Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Email: learn@wizako.com
Leave A Message