Question : $\mathrm{A}$ and $\mathrm{B}$ are running on a circular track of length $1400 \;\mathrm{m}$. The speed of $\mathrm{A}$ is $33\; \mathrm{m/s}$ and the speed of $\mathrm{B}$ is $47\; \mathrm{m/s}$. They start from the same point at the same time in the opposite direction. After how much time (in seconds ) will they meet for the second time?
Option 1: $33$
Option 2: $38$
Option 3: $35$
Option 4: $32$
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $35$
Solution :
The relative speed of A and B $=33\;\mathrm{m/s} + 47\;\mathrm{m/s} = 80\;\mathrm{m/s}$
The time they take to meet for the first time $=\frac{1400}{80} = 17.5\;\mathrm{s}$
Since they meet every time they cover the length of the track,
They will meet for the second time after another $17.5\;\mathrm{seconds}$.
Therefore, A and B will meet for the 2nd time after $17.5 + 17.5 = 35\;\mathrm{seconds}$
Hence, the correct answer is $35$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates BrochureYour Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.