Home » Aptitude » Races and Games

In a 300 m race, A beats B by 22.5 m or 6 seconds. What is B's time over the course?

Difficulty: Easy

Correct Answer: 80 s

Explanation:

Problem restatement
When A finishes 300 m, B is 22.5 m behind; equivalently, B takes 6 s longer to finish the race. Find B's total time for 300 m.


Concept/Approach
The 22.5 m deficit equals B's distance covered in 6 s, which gives B's speed. Then compute time for 300 m.


Step-by-step calculation
B's speed = 22.5 / 6 = 3.75 m/sB's time for 300 m = 300 / 3.75 = 80 s


Verification/Alternative
If B's time is 80 s, then A's time is 74 s (6 s ahead). In 74 s, B covers 3.75 × 74 = 277.5 m, which is 22.5 m short of 300 m (checks).


Common pitfalls
Assuming constant difference in distance translates directly to average speed without using the 6 s information.


Final Answer
80 seconds (i.e., 1 min 20 s)

Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion