Question : In a 200-metre linear race, if A gives B a start of 25 m, A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 m, the race ends in a dead heat. How long does A take to run 200 m?
Option 1: 78 seconds
Option 2: 77 seconds
Option 3: 78.5 seconds
Option 4: 77.5 seconds
Correct Answer: 77.5 seconds
Solution :
Given: In a 200 m linear race, if A gives B a start of 25 m, A wins by 10 seconds.
Alternatively, if A gives B a start of 45 m, the race ends in a dead heat.
So, the additional 20 m start given to B compensates for the 10 seconds.
i.e., B runs 20 m in 10 seconds.
Hence, B will take 100 seconds to run 200 m.
Also, A gives B a start of 45 m.
Since B runs 20 m in 10 seconds, 45 m will be covered in 22.5 seconds.
A will take 22.5 seconds less than B, or, 100 – 22.5 = 77.5 seconds, to
complete the race.
Hence, the correct answer is 77.5 seconds.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
